Explore every episode of the podcast プレプリどんどん: math.CA

arXiv math.CAの新着論文14本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-28/

1. Almost-orthogonal Strichartz estimates and radial improvements
2. Discrete orthogonal polynomials related to Hahn difference operator
3. On convergence of formal Dulac series, satisfying an algebraic $q$-difference equation
4. Formalizing Carleson's Theorem in Lean
5. The Wiener norm of lifts of dense Sidon sets
6. Sharp weighted weak-type bounds for commutators of singular integrals
7. Prescribed projections for a general class of maps and efficient covering by variable plane curves
8. Phase retrieval for Schr\"odinger evolutions
9. Extremals and stability for the Folland-Stein inequality on H-type groups
10. Upper and lower fluctuations in Shallit's law of leap years in Pierce expansions
11. An elementary solution to the polarization problem
12. The derivative function of the zeta-star correspondence
13. Optimal stability hierarchies of the Heisenberg Uncertainty Principle for solenoidal fields and of the second order Caffarelli--Kohn--Nirenberg inequalities
14. Completely monotone negative powers of hyperbolic polynomials

arXiv math.CAの新着論文14本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-25/

1. Endpoint Riesz transforms on normalized graphs
2. On the Alzer-Berg problem: an optimal Bernstein boundary and a uniqueness conjecture
3. Sharp power-mean comparisons for Gauss hypergeometric functions
4. Spectral eigenvalue problem of Cantor measures and Artin's primitive root conjecture
5. The ultraspherical background of the Jacobi phase expansion, in closed form
6. Critical Hausdorff Measure for Higher-Dimensional Bedford-McMullen Subshifts
7. Form domination and tent space estimates for operators on the half-space
8. Sharp endpoint extension inequalities for the moment curve on finite fields II: an extremal property of the uniform distribution
9. Method I revisited: extension, continuity, and applications
10. Hausdorff-Young inequalities for $\mathrm{SU}(1,1)$ Fourier products indexed by binary cubes
11. Ornstein-Uhlenbeck semigroup maximal operator on weighted $L^p$ space
12. Wiman-Valiron inequalities in the unit disk outside sets of finite logarithmic measure
13. Absolute continuity and dimension conservation for self-similar sets and measures
14. Preduals of weighted homogeneous Bourgain-Morrey Besov-Triebel-Lizorkin spaces associated with operators

arXiv math.CAの新着論文19本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-24/

1. On $C^k$ convex variants of Stein's Weighted $L^2$ Conjecture for Bochner-Riesz means
2. Spectrality of Weighted Measures on Two Line Segments
3. Spherical harmonics, operators of multiplication by coordinates, and infinitesimal conformal transformations
4. Sparse bounds and joint oscillation for bilinear rough commutators
5. On the Central Maximal Function in $\mathbb{R}^n$
6. A set of points with optimal $L^2$ spherical cap discrepancy
7. The weak-type $(1,1)$ estimates for wave equation on $ax+b$ groups
8. A minimal HRT counterexample at the sharp Gelfand--Shilov threshold
9. Derivatives of Theta Functions and a Problem of Lyubarskii and Nes
10. The critical mixed-arithmetic four-point HRT theorem
11. Complex median method
12. Besicovitch Compression and a Quantitative Failure of Endpoint Fourier Restriction
13. Phase retrieval from a uniformly discrete point set
14. A Szemer\'edi-Trotter Theorem in Arbitrary Fields
15. Geometric lifting and Freiman's $3k-4$ theorem in compact connected abelian groups
16. A proof of the Holmes-Holroyd-Ramirez cyclic-product conjecture
17. Sharp Higher Integrability Theory, Part I: The $L^p$-norm of the Beurling--Ahlfors transform
18. Multiplicity-Weighted Moments Across a Harmonic Caustic: Closed Forms with Order-Independent Breakpoints
19. The Spectra of the Henze-Zirkler and Henze-Wagner Operators for BHEP Tests

arXiv math.CAの新着論文13本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-23/

1. A reciprocal-Gamma Mehler--Heine limit for Krawtchouk--Sobolev type orthogonal polynomials with an exterior mass point
2. Spectral synthesis with the complexity parameter in $\mathbb{Z}_N^d$
3. Dynamical Sampling in Graph Paley--Wiener Spaces
4. Matrix Continued Fractions from Bidiagonal Factorizations
5. Hypergeometric Mixed-Type Multiple Orthogonal Polynomials
6. Dunkl theory, convolution algebras, and related Markov processes
7. Voltage and current density in a rectangle with point in- and ejection via Green's functions and $q$-analysis
8. Exponential improvements in Rado's covering problem
9. The dHYM equation on crepant resolutions of Calabi-Yau cones
10. Compact sets in Banach lattices over spaces of homogeneous type
11. Basic Reproduction Ratios for Almost Periodic Non-Densely Defined Cauchy Problems
12. Remarks on the Geometry of Sets in $\mathbb{Z}^d$ with Small Fourier $L^1$ Norm
13. The cubic discriminant as an organizing principle for Duffing dynamics

arXiv math.CAの新着論文22本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-22/

1. Rectifiability of the straight visible boundary and the limits of segment-based Hardy criteria
2. P-adic Curved Kakeya Sets, Projection Theorem and Covering Numbers
3. A new type of deterministic Salem sets and its spectrality
4. $P$-adic $s$-energy and Fourier dimension
5. On higher-order differential equations for Laguerre-Hahn orthogonal polynomials
6. On the Rajchman property of homogeneous self-affine measures
7. The Coulhon--Duong conjecture for the Riesz transform on complete Riemannian manifolds
8. Endpoint estimates for commutators of singular integral operators associated with admissible functions
9. Endpoint Estimates for Commutators of the Dirichlet Riesz Transform on the Half-Space
10. The Zygmund conjecture and Rey's exponential integrability conjecture
11. Dimension-free estimates for discrete maximal functions over cubes in $\mathbb Z^d$
12. Establishing the Polynomial Wolff Axioms for $\delta$-Separated $\delta$-Tubes With #o-minimality
13. Uniqueness sets in weighted $\ell^2$-spaces via simultaneous approximation
14. Some Results on Lame-Heun Spectral Geometry
15. Collision Positivity for Three-Variable Symmetric Monomial Inequalities
16. On variation functions of lacunary series
17. Restricted isometry of sampled Fourier and Hadamard matrices via entropic descent
18. Sharp $L^2$-stability and gradient stability hierarchies of the $L^2$-Poincar\'e inequalities on Euclidean balls and Gaussian Poincar\'e inequality
19. Finite-data inverse nodal optimization in angular-momentum sectors of Schr\"{o}dinger operators
20. Exponential separation of self-conformal systems
21. Sharp zero estimates for trajectories of polynomial vector fields
22. A purely metric characterization of supercritical Sobolev spaces

arXiv math.CAの新着論文12本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-21/

1. Super-g-H\"older Regularity in Stieltjes Dynamics: Atomic Structure, Exact Extremal Values, and Recovery of the Stieltjes Clock
2. Some freezing limits for Bessel functions and Bessel processes with drift of type $B_N$
3. Strict Total Positivity of a Gauss Hypergeometric Kernel, and the Sharp Threshold for the One-Dimensional $SL(2,\mathbb{R})$ Conformal Block
4. A boundedness result for degenerate parabolic Riesz transforms with rough coefficients
5. An Askey Scheme for Jacobi Systems of Mixed Type: Laguerre Limits of the First and Second Kinds and Hermite Limits
6. Kakeya and Furstenberg problems for sticky sets of tubes
7. An $m^{2.943}$ Bohnenblust--Hille Bound on the Boolean Cube
8. Complete characterization of planar $C^1$ linearizability and optimal conjugacy regularity
9. Dimension-free weak $(1,1)$ estimates for Riesz transforms with constant drift
10. Periodic Magnetic Geodesics with Every Low Energy: Existence and Localization
11. Projection Constants of Polynomial Spaces via Representation Theory
12. Lyapunov stability of polynomial vector fields is undecidable

arXiv math.CAの新着論文12本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-18/

1. Complete Bernstein functions and scaled ultraspherical zeros
2. Rigorous analysis of giant magnetic vortex strings
3. Product-profile anti-concentration for block-structured multi-affine polynomials
4. The divergence set for the wave equation in higher dimensions
5. $L^p$ Decay Estimates for Circular Means of Fractal Measures in $\mathbb{R}^2$
6. Sharp mixed $A_p$-$A_\infty$ estimates for sparse operators on filtered and nonhomogeneous measure spaces
7. Universal completeness of exponentials
8. Sumsets of Ahlfors--David regular sets
9. Hausdorff spectrum of Lyapunov exponents for higher-dimensional self-affine systems
10. A constructive approach to range characterization of spherical mean transform in odd dimensions
11. Local Matrix Muckenhoupt Weights and Quantitative Weighted Inequalities Achieving Global Best Known Exponents
12. An exponential Lojasiewicz inequality for semi-Pfaffian sets

arXiv math.CAの新着論文14本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-17/

1. Connection Formulae for a Generalised Ramanujan Entire Function
2. There are no Riesz bases of exponentials in balls and triangles
3. On Kolmogorov's rearrangement problem and Garsia's conjecture
4. Curved commutators in higher dimensions
5. Multilinear Mikhlin Multipliers with Degenerate Singularities
6. Range Failure, Resolvent Growth, and Resonance in Partially Dissipative Systems
7. Endpoint eigenfunction restriction estimates in codimension two
8. Sharp Strichartz estimates on the one-dimensional torus
9. Zeros of the Spectrogram of Colored Noise
10. $p$-roughness of paths and invariance of $p$-th variation
11. A Solution of Problem 2.5 by Brezis on the Planar Ginzburg--Landau Equation
12. On Two Questions by Brezis et al Concerning the Critical Difference Quotient Characterization of First-Order Sobolev Spaces
13. A Sharp Planar Fractional Isoperimetric Inequality
14. Absolute deviations of the binomial about a prescribed centre: the tail expansion in closed form

arXiv math.CAの新着論文11本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-16/

1. Completing the Meijer--Barnes $K$-function: the excluded case $N<0$
2. Sharp bounds in Ionescu--Wainger multiplier theorem for canonical fractions
3. Sets with no Riesz bases of exponentials
4. Commutators with two matrix weights
5. Improved weighted bounds for the strong maximal function
6. Improved $L^p$ bounds for the helical maximal function in dimensions $n \geq 5$
7. Rational Points near Monofractal Curves and the Strong Oscillation Principle
8. Finite inverse nodal problems for singular weighted Sturm--Liouville equations: variational selection and spectral matching
9. Block-count constrained harmonic sums: spectral expansion and block-directed Euler-Maclaurin
10. Singular solutions to parabolic equations in one space dimension
11. On Sarnak--Str\"{o}mbergsson conjecture

arXiv math.CAの新着論文22本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-15/

1. A Lower Bound on the Blob
2. Polynomial corners in finite fields beyond the distinct-degree case
3. Failure of the linear $A_2$ bound for the strong maximal operator
4. Spherical harmonics with maximal Lp norm growth
5. Non-radial Dunkl multipliers at the $L^2$-Sobolev threshold
6. On the weighted weak-type constant for the dyadic square function
7. The `1/9'-problem for the $\varphi$-functions
8. On the matrix $A_p$ conjecture
9. Erd\H{o}s's Robust Polynomial Interpolation Problem: the Optimal Exponential Scale
10. Cahn-Hilliard equation associated with hypergraph
11. Invariant sets of the double Hilbert transform
12. The lower envelope of ultraspherical polynomials
13. Spherical maximal operators on rank one Riemannian symmetric spaces of noncompact type
14. Besicovitch's covering theorem in the parabolic metric
15. BMO-Type characterizations and endpoint estimates for commutators of intrinsic square functions on Orlicz-Hardy spaces
16. Predictable subordination, sharp martingale inequalities and applications
17. The sharp $L^p$ bound for the imaginary part of the Beurling--Ahlfors operator on the lattice
18. The two cubic separable minimal surfaces: $\mathcal D_1\mathcal D_2\mathcal D_3=1$ and $\mathcal C_1+\mathcal C_2+\mathcal C_3=3\,\mathcal C_1\mathcal C_2\mathcal C_3$
19. Polynomial Growth of Complex Polynomial Hardy--Littlewood Constants
20. The Koml\'os conjecture for complex discrepancy
21. Parabolic uniform rectifiability is characterized by Carleson measure estimates for bounded caloric functions
22. Nested QMC designs on spheres

arXiv math.CAの新着論文17本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-14/

1. Martingale Transforms and Compensated Bellman Estimates for Dunkl Riesz Transforms
2. Trace-defect bounds for discrete Fourier concentration operators
3. An Elementary Proof of the Hambly-Lyons Uniqueness Theorem
4. Weighted Endpoint Variational and Jump Inequalites for Rough Singular Integrals
5. The norm of the centered Hardy--Littlewood maximal operator
6. Bourgain's Lambda(p) selection theorem: a greedy proof with polynomial failure bounds
7. A weighted restriction estimate in $\mathbb R^2$
8. Asymptotics of the coefficients of polynomials, asymptotic zero distribution and free probability
9. Some extremal problem for martingale transforms. III
10. Littlewood-Paley Theory For Orthogonal Expansions Associated With Root Systems
11. Hardy--Littlewood Maximal Operator and Two-Layer Muckenhoupt Weights on Infinite Rooted $k$-Ary Trees
12. Sharp $L^2 \to L^4$ extension inequality for quadratic surfaces in finite fields
13. Equal-Phase Monotonicity for Weighted Jacobi-Radau Functions and Jacobi Lebesgue Constants
14. Diameter-free reverse inequalities and superorthogonality
15. Minimal central slices of the regular simplex
16. Tangent-cone cancellation and Maz'ya's $\Phi$-inequalities on finitely cornered planar domains
17. Exotic operators on the Hardy spaces of the infinite-dimensional torus

arXiv math.CAの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-11/

1. Finite Hardy Phase Theory for Power Means: An exact analytic shooting family through the Carleman parameter
2. Dimension-free estimates for full discrete maximal functions associated with Euclidean balls and spheres
3. On the log-concavity of the composite Bessel function $x^{\alpha}J_{\nu }\left( \beta x^{\gamma}\right) $
4. Riesz capacity ratios with negative exponents
5. Shorter proof of dimension-free $L^p$ estimates for maximal Riesz transforms
6. Liouville regular Jordan curves
7. A threshold for full packing dimension of H\"{o}lder images of sets and measures
8. Gaussians Do Not Always Maximize Mixed-Norm Strichartz Inequalities for the Schr\"odinger Equation

arXiv math.CAの新着論文9本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-10/

1. Mockenhaupt's Three-Term Hardy-Littlewood Majorant Conjecture
2. Optimal dimension-dependent $\ell^p$ and $\ell^{1,\infty}$ estimates of the second-order discrete Riesz transforms
3. Dimension-free estimates for the full discrete Euclidean ball maximal function
4. Loomis-Whitney inequalities on Reiter-Heisenberg groups
5. A proof of Askey's convexity conjecture
6. Positivity and Asymptotics for Chenevier's Orthogonal Polynomials
7. Primes with Restricted-Digit Differences
8. When Finite Free Curves Split
9. Whitney extension theorem and intrinsic rectifiability of jump sets in Carnot-Carath\'eodory spaces

arXiv math.CAの新着論文29本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-09/

1. Characterization on spectra of self-similar measures and the dual spectral set conjecture
2. Regular closed gradient ranges and asymptotic gradient values
3. A solution to the Erd\H{o}s Problem #1040
4. Terminating Zero-Balanced Hypergeometric Series Using Divided Differences
5. Exact Asymptotics of the Multidimensional Nikolskii Constant
6. Lifting curved Kakeya sets to linear Kakeya sets
7. A counterexample to the Gowers $U^k$ uncertainty conjecture for $k\ge 6$
8. Some constructions of restricted Kakeya sets
9. Admissible characterization in delay equations and robustness of exponential dichotomies against small-delay perturbations
10. Two-parameter variational estimates for averages over tori
11. Boundedness of Multilinear Hilbert Transforms Along Moment Curves
12. Pi\~neiro mixed orthogonal polynomials and bidiagonal factorization
13. Polynomial Bohnenblust--Hille Bounds for product of cyclic groups
14. A sharp covering theorem and Solyanik estimates for Euclidean balls
15. Boundary value problems for linear differential-algebraic equations: solvability via the Kronecker canonical form
16. An Askey-Type Confluence Scheme for Hahn-Like Multiple Orthogonality
17. Full-radius dimension-free maximal inequalities for discrete Euclidean balls
18. Symmetric products of Laguerre zeros
19. Intersections and Minkowski Sums of Four-Corner Cantor Dusts with the Unit Circle
20. Wavelet orthonormal bases for nonexpansive dilations
21. Estimates for $L^p$ variants of Gowers norms
22. Endpoint bounds for the Born-Jordan distribution
23. On the Two-Weight Problem for One-Sided Maximal Operators in Higher Dimensions
24. Distance Energies and Negative Type of Flat Tori
25. The equivalence of solutions to fractional and logarithmic Helmholtz equations
26. The spectrum of $(\xi\alpha^n)$ can be uncountable
27. Non-asymptotic bounds for the average singular value of a complex Gaussian matrix
28. Dimension free weak-type endpoint estimates for the vectors of the Dunkl--Riesz transform
29. On the well-posedness and efficient approximation for the classical Melan equation in suspension bridges

arXiv math.CAの新着論文6本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-07/

1. Bourgain's proof of the circular maximal theorem: an exposition
2. Primes are Complete for a Class of $N$-Bernoulli Convolutions Spectral Pair
3. On the spectrality of the non-homogeneous golden-mean self-similar measure
4. A Log-Free $n^{1/5}$ Bound for Chowla's Cosine Problem
5. The weak-type (1,1) bound for the Hardy--Littlewood maximal function is $O(\sqrt{n} \log n)$
6. Asymptotics for the $k$-Hessian Eigenvalue on the Unit Ball

arXiv math.CAの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-04/

1. Reducibility of symmetry on $q$-Painlev\'e equations
2. Certified Spherical MUSIC for 3D Localization under Adversarial Subspace Perturbations
3. A thickness boundary and modular obstructions for two-set radial projections
4. Sparse bounds for maximal rough singular integrals
5. Hausdorff--Choquet Angular Spaces and Weak-Type $(1,1)$ Bounds for Rough Maximal Operators
6. Endpoint Estimates for Stein's Purely Quadratic Carleson Operator
7. On the abstract approach to spectral constants: a proof of the Clou\^atre--Ostermann--Ransford conjecture
8. The finiteness conjecture for equilibria of electric fields generated by point charges of one sign

arXiv math.CAの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-03/

1. Orthogonal polynomials which are eigenfunctions of a partial differential operator
2. A Note on the Norm of the Embedding of $\text{PW}^2$ into $\text{PW}^q$
3. Sharp estimates for the Jacobi and trigonometric Dunkl heat kernels
4. Ratio and limiting zero distribution asymptotics for symmetric multiple orthogonal polynomials
5. Estimating the number of real zeros of linear combinations of radicals of polynomials
6. The frame set of the first Hermite function
7. Positivity loss in bandlimited spectral reproduction on spheres

arXiv math.CAの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-02/

1. Translational tiles without spectra in finite abelian p-groups
2. Critical points of point charge potentials along lines
3. The frameset of the second-order B-Spline along $ab=1/q$
4. Asymptotic safety regions for Gabor frames generated by Hermite functions
5. Colombo's Determinant Problem
6. Higher-order Gaussian bounds for maximally subelliptic boundary value problems
7. The Discrete $L_p$ Minkowski Problem for Negative $p$

arXiv math.CAの新着論文25本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-01/

1. Repairing the refined-decoupling proof of the 5/4 planar pinned Falconer theorem
2. Minkowski sums with convex curves without pointwise Fourier decay
3. Mesh-Degree Rigidity for Positive Chebyshev-Fourier Approximants
4. On the measure of the boundary of a Haj\l{}asz-Sobolev $(M^{1,p},M^{1,q})$-extension domain
5. A Littlewood-Type Theorem for Harmonic Functions in Euclidean Half-Spaces
6. An Ellipse Criterion for Exact Nonuniqueness in the Planar Interior Radon Problem
7. Monodromy and Isomonodromy for Linear $q$-Difference Systems with Coefficient Matrix $Ax+B$
8. Counterexamples for generalizations of the non-elliptic Schr\"{o}dinger maximal operator
9. On the Coefficients of Hurwitz-Type Matrix Polynomials
10. Square Functions and Rectifiability under Monotone Transformations of the Density
11. A Painlev\'e equation for the H\"ormander-Bernhardsson constant
12. The Erd\'elyi--Magnus--Nevai and Krasikov Conjectures for Jacobi Polynomials
13. The Koornwinder--Kostenko--Teschl Conjecture for Jacobi Polynomials and the Discrete Laguerre Phase Transition
14. Critical discrete Hardy inequalities in $L^p$
15. A Counterexample to Belinsky's Conjecture on Ces\`aro Means at Lebesgue Points
16. Sharp constants for weak estimates of Riesz Potentials when $0
17. Sub-Laplacians on Compact Lie Groups: Heat Kernels, Distance, and Zeta Determinants
18. Least Variability in a Polynomial-Square Class of Rational Kernels
19. Ergodic $\times p$-invariant measures on $\mathbb{T}^2$ with no dimension dropping projections
20. GPT, the Counterexample Machine
21. Counting integral points near a curve in the n-dimensional Euclidean space
22. Wallis-type products with polynomial exponents and the Dirichlet beta function at negative integers
23. Endpoint Mapping Properties of Wave Operators for Two-Dimensional Schr\"odinger Operators
24. Controllability of time-varying lumped semilinear systems
25. A Full Characterization of the Dirichlet Carleson embedding $\operatorname{id}: \mathcal D_{p-1}^p \to L^p(\mu)$ for $p>2$

arXiv math.CAの新着論文9本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-31/

1. Mehler--Heine asymptotics for finite differences of mass-modified Charlier and Meixner polynomials
2. Quantitative Uniqueness and Rough Damping on $\mathbb T^2$
3. Optimal polynomial meshes beyond geometric boundary regularity via Green sublevels
4. A Sharp Capacity Gauge Solution to the Open Problem of Quasisymmetric Composition on $\mathcal{Q}_\alpha(\mathbb R^n)$
5. Notices on a new functional identity and allied series transformations
6. A unified approach via Geronimus transformation to various types of orthogonal polynomials
7. Higher Order Structure along Nilpotent Eigendirections in Planar Vector Fields
8. Lattice points in high-dimensional $\ell^q$ balls with small radii
9. Critical Gaussian Multiplicative Chaos on the Circle Is Rajchman

arXiv math.CAの新着論文6本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-28/

1. Microstructure evolution as a game
2. Capacitary-Distance Hardy Inequality
3. Optimal fractional discrete Hardy inequalities on the half-line
4. A complex-analytic proof of square-restricted stable phase retrieval in Fock space
5. A blueprint for the formalization of norm-variation of multiple ergodic averages for commuting transformations
6. Arbitrarily Fast Quantum Dispersion in Long-Range Crystals

arXiv math.CAの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-27/

1. A sharpened Carlson's integral inequality
2. Exact-Support Counterexamples to Euclidean-to-Spherical Transfer of Positive Definiteness in Even Dimensions
3. Bilinear Bochner--Riesz Means on the Complex Sphere
4. Optimal differentiability of isotropic positive definite functions on even-dimensional spheres
5. Weighted Estimation by Discrete-time Sparse Domination on Martingale Spaces

arXiv math.CAの新着論文14本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-26/

1. A Fefferman--Stein inequality for the Dunkl Poisson semigroup and its chamber-lifted formulation
2. Directional maximal operators in the plane
3. Borell--Brascamp--Lieb inequality with finitely many output functions
4. Functions with comparable integrals on all k-planes
5. Optimal Hardy Inequalities for Random Walks on $\mathbb{Z}^2$
6. On AAA approximants on an interval to Nevanlinna-Pick functions and P\'olya Frequency Series
7. Evolution families and variation of constants formula for abstract functional differential equations with time-dependent infinite delay
8. Sparse domination implies convex body domination
9. Polynomial Ergodic Averages Along Short Intervals
10. Common tiling functions with small support
11. Stieltjes polynomial interpolation
12. BMO Classification for Two-Dimensional Dunkl Newton and Green Kernels
13. Critical fractional Hardy inequalities
14. Joint moments of characteristic polynomials in the circular Jacobi ensemble and Painlev\'e equations

arXiv math.CAの新着論文24本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-25/

1. Positive measure for restricted projections along smooth non-degenerate curves
2. Endpoint orthonormal Strichartz estimates
3. Gaussian beam Radon transform for tensor fields in $\mathbb{R}^2$
4. $L^p$-Estimates for maximal averages along mixed homogeneous hypersurfaces in $\mathbb{R}^{3}$
5. Isotropic Positive Definite Functions on Spheres: Even-Dimensional Gneiting's Problem
6. The H\"ormander--Bernhardsson function in higher dimensions
7. Rotating needles in space: the road to the Kakeya conjecture, and why it matters
8. A criterion on weak type $(1,1)$ bound of rough singular integrals
9. Local Scaling and Dimension Distortion of Generalized Cantor Functions
10. Distance preservers for Lobachevsky space
11. The Nikolskii Constant in Arbitrary Dimension
12. Critical two-depth Journ\'e packing for bi-parameter and Zygmund rectangles
13. Rubio de Francia's Extrapolation Theorem and Sparse Bounds
14. The Hamburger Criterion for Matrix Nevanlinna--Pick Interpolation
15. The dyadic denominator law for the phase constants of the Jacobi zeros
16. Big Pieces of Regular Parabolic (bi-)Lipschitz Images is Equivalent to Parabolic Uniform Rectifiability
17. Eigenvalue asymptotics and uniform eigenfunction bounds for the fractional Laplacian in the interval
18. Rational Points and Brownian Motion
19. Finite-term recurrences in a generalized Bochner--Krall family
20. Componentwise Geometry and Monodromy of Generalized Lam\'e Equations
21. On ideal lemniscates, butterflies, and circular waves
22. The parabolic Dini-$\beta$ condition and absolute continuity of surface and caloric measure
23. Quasiconvexity of the Burkholder function on symmetric matrices
24. Quantitative Logarithmic Chowla Correlations Uniformly over Growing Shifts

arXiv math.CAの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-24/

1. Strong asymptotics for Jacobi-Pi\~neiro orthogonal polynomials
2. Two-weight commutators for the Bessel Riesz transform with Andersen--Kerman weights
3. Anisotropic Bourgain--Brezis inequalities
4. On the $p$-variation of Riemann's ''nondifferentiable'' function
5. Space-filling surfaces: sharp H\"older continuous parameterizations from squares to cubes

arXiv math.CAの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-21/

1. Product formulas for multivariate and matrix-variate confluent hypergeometric functions
2. Factorization and Atomic Decomposition in Hardy-Orlicz Spaces on the Upper Half-Plane with Applications to Hankel Operators
3. Boundary-Weighted Fourier Inequalities for Convex Domains
4. Generalized inverses of strictly monotone transformations
5. Uniform weak type $(1,1)$ bounds for Riesz transforms on stratified Lie groups

arXiv math.CAの新着論文11本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-20/

1. $\Gamma$-Convergence of Weak-Type Nonlocal Functionals on Bounded Domains
2. Buffered Shading-Compatible Multiplicity Factoring in Four Dimensions
3. Cellular Maximal-Density Factoring and a Repair of the Streamlined Three-Dimensional Kakeya Reduction
4. Complexity-sensitive additive energy and off-diagonal Young inequalities on bounded-degree algebraic varieties
5. Norm bounds on Fourier series with polynomial spectra and constrained coefficients
6. The Unfair 0-1 Polynomial Problem and High-Degree Trinomials
7. Mean Value Estimates for a Real-Exponent Analogue of Waring's Problem
8. Semi-Discrete Linear Hyperbolic Curvature flow
9. Gaudin models for some classical multivariate distributions
10. From Erdos Problem 1154 to a Zero One Law for Turing Ideals
11. Second-Level Concavity of the Riemann $\Xi$ Kernel

arXiv math.CAの新着論文11本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-19/

1. Sufficient Conditions for Strong Natural Boundaries involving Lacunary Sequences
2. High-dimensional discrete 1-symmetric convex bodies and dimension-free estimates for maximal functions
3. A four-way Szeg\H{o} theorem for $L^p$ extremal polynomials on subsets of $\mathbb R$
4. Properties and applications of Lorentz--Muckenhoupt classes
5. Mixed-norm Brasamp-Lieb inequalities
6. A dimension-free weak-type $(1,1)$ bound for the vector Riesz transform on $\mathbb{R}^n$
7. Almost sure pointwise convergence for the 2D periodic quintic NLS
8. Romanovski polynomials, Gegenbauer connections, and $\mathrm{su}(1,1)$ ladder structures
9. Alternating generalizations of Mizuno's product formula via modified gamma functions
10. Sharp Quasi-Reverse Minkowski Inequality for Schatten Norms
11. Failure of almost monotonicity of harmonic measure density ratios at points of vanishing codimension-one density

arXiv math.CAの新着論文19本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-18/

1. Wavelet and tent space characterizations of $h^p(\mathbb{R}^n)$, $0 < p \le 1$, with exact $L^2$ convergence, and the maximal class of admissible functions for Goldberg-type splittings
2. Arithmetic-progression gap sets in Cantor sets
3. Fractal Uncertainty and Quantitative Uniqueness for the Fourier Bessel Transform
4. Whittaker functions with one or both parameters large: simplified uniform asymptotic expansions involving Bessel and Airy functions
5. Generalization for Poincar\'e--Sobolev inequalities with local weights
6. Tur\'an problem on the union of three intervals of equal length
7. New Fej\'er-type Inequalities Related to Hermite-Hadamard-type Inequalities and Their Applications
8. The Nikolskii constant in odd dimensions
9. A finite-order characterization of entrywise positivity preservers
10. Sharp weighted estimates for the Bessel Riesz transform and its commutator with Andersen--Kerman weights
11. Real-Variable Characterizations and Their Applications of Anisotropic Besov Spaces with Matrix $\mathcal A_\infty$ Weights
12. Complete asymptotic expansion for a Durrmeyer variant of operators based on Hermite polynomials
13. On the relations between several notions of symmetry for the second order linear differential equation
14. A Green Function Approach to Smooth Nonautonomous Topological Equivalence with Unbounded Nonlinearities under $(\mu,\nu)$--Dichotomies
15. Positive quasimodular forms and the sign uncertainty principle
16. A nonabelian Brunn-Minkowski inequality II
17. The nonlinear Hausdorff-Young inequality
18. Lipschitz surjections between self-similar sets
19. Commutator estimates for functions of noncommuting self-adjoint operators

arXiv math.CAの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-17/

1. Transversal H\"older Criteria and Dini--Zygmund Endpoint Regularity for Hyperbolic Harmonic Mappings
2. Cesaro Means along Polynomial Subsequences of Fourier Partial Sums at Lebesgue Points
3. Sharp refined-direction Kakeya estimates in finite Heisenberg groups
4. Extremal functions and zero sets for the Dirichlet space
5. Woven weighted exponentials
6. A characterization of uniqueness of purely atomic finite measures with central Cantor set range
7. Near diagonal additive energy bound for points on algebraic surfaces

arXiv math.CAの新着論文9本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-14/

1. Lommel polynomials and explicitly solvable prediction problems on the unit circle
2. Conformal Dimension of Measures and Quasisymmetric Dimension Reduction
3. Parabolic BMO, Parabolic Muckenhoupt Classes, and Parabolic Reverse H\"older Classes with Time Lag
4. Mixed Weak type inequalities for pairs of weights related to the Hardy-Littlewood maximal funcion, Calder\'on-Zygmund operators and their commutators
5. Chebyshev polynomials on a Jordan arc
6. Fourier-invariant functions with dense zero sets
7. A conditional arithmetic obstruction to the prime numbers as a spectrum of a probability measure
8. The Hayman--Wu constant is $\pi^2$
9. Relative Periodic Orbits in the Gutzwiller-type Anisotropic Kepler Problem and $n$-body Problem

arXiv math.CAの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-13/

1. Kakeya sets and dimension compression in compact Lie groups
2. On Constrained Riesz Minimum Energy Problems
3. On the optimal constant in the Montgomery-Vaughan weighted Hilbert inequality
4. Near optimal three-fold additive energy bound for points on convex curves
5. The 196560 auxiliary-function conjecture for the Leech lattice
6. Isospectral majorization and isoperimetric inequalities for coherent states on the Bloch sphere
7. The Corona Problem for Slice Holomorphic Functions via the Matrix Corona Problem
8. Grothendieck's theorem for Bessel sequences

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番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-12/

1. Almost everywhere convergence of subsequences of Walsh-N\"orlund means
2. Classification of Fourier summation formulas on a horizontal strip
3. Applications of Nonlinear Projections to Rectifiable 1-sets
4. Finite Good Witnesses for Generalized Curve Projections at the Rectifiable Endpoint
5. Remarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operator
6. Sharp constants in the one-sided John-Nirenberg inequality for functions of bounded lower oscillation
7. Matrix Szeg\H{o} Function and Matrix Orthogonal Polynomials for Multiple Cuts
8. A double-sum analogue of Whipple's summation formula and a restricted sum formula for multiple binomial sums
9. On the Assouad dimension of Weierstrass function graphs

arXiv math.CAの新着論文19本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-11/

1. An intrinsically subcritical four-point counterexample
2. Random Bernoulli measures in a random environment
3. A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set
4. Affine Scaling of Jacobi Zeros: Sharp Orderings Beyond Gautschi's Conjectures
5. A Riemann-Hilbert representation for Sobolev orthogonal polynomials
6. Generalized Freud weight, discrete Painlev\'{e} I hierarchy and full asymptotics of Hankel determinants
7. Sharp $L^2$ Estimates for $(2+1)$-dimensional oscillatory integral operators with homogeneous binomial phases
8. Structure of Minimal Locally Concave Functions
9. Sharp $\ell^p$-Improving Estimates for Fixed-Radius Discrete Spherical Averages
10. A new example of crystalline-type measure with unit masses and an application to tiling of the real line by translates of a function
11. Fourier restriction to hyperbolic rectangles and an application
12. Widom factors for Chebyshev and residual polynomials on semi-regular subsets of $\mathbb{R}$
13. Analytic continuation of local zeta functions to a slit complex plane: the one-dimensional case
14. The sharp reverse Hardy inequality in BMO for nonincreasing functions
15. The Minimum Cardinality of a Dependent Finite Gabor System Is Four
16. Lipschitz spaces adapted to Schr\"{o}dinger operators on the Heisenberg group
17. Sharp Endpoint Eigenfunction Estimates for the Two-Dimensional Hermite Operator
18. Sharp Bounds for Rational Points Near Space Curves
19. On the weighted hard-core model and Rado's covering problem for congruent Euclidean balls

arXiv math.CAの新着論文3本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-10/

1. Fractional Gagliardo--Nirenberg Inequalities: Pointwise Estimates,Sharp Asymptotics, and Optimal Target Spaces
2. Nineteen vectors and a certificate of their phase-retrieval injectivity in $\mathbb{C}^6$
3. Maximal estimates for perturbations of the Schr\"odinger operator on $\mathbb{T}^d$

arXiv math.CAの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-07/

1. Asymptotics of Polynomials Orthogonal on an Interval with Varying Weights
2. Degree-uniform regions for Gautschi's conjecture on subrange Jacobi polynomials
3. Decay rates for (2+1)-dimensional oscillatory integral operators with homogeneous polynomial phases
4. On number of cyclic $n$-roots and disjointness of Fourier supports
5. Effective Lagrangian regularity and the uniqueness threshold for random H\"older velocity fields

arXiv math.CAの新着論文6本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-06/

1. Bernstein-type bases on $q$-quadratic lattices and Askey--Wilson\slash $q$-Racah connection coefficients
2. Preservation of Positive-Definiteness by Bernstein Operators on the Circle
3. Two absolutely bounded determinantal ratios
4. A Counterexample to the Liu--Lou--Zhu $\mathcal Q_p$--Carleson Embedding Conjecture
5. Gabor Frames of Totally Positive Functions: A Complete Characterization
6. Linear dependence of time-frequency shifts of a Schwartz function

arXiv math.CAの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-05/

1. Laplace Asymptotics near Stratified Minimum Sets
2. Algebraic defect and positive mother body measures
3. On the endpoint estimate for discrete spherical average over sparse sequences
4. Optimized bounds for the product and the ratios of modified Bessel functions
5. Mechanical Implications of the Teleportation of Rigid Extended Bodies from the Perspective of Classical Mechanics and Mathematics
6. A solution to Crouzeix's conjecture
7. Strichartz estimates for quasi-periodic functions on long time intervals: An arithmetic approach
8. A Tau function for $q$-Painlev\'e VI as a Fredholm determinant

arXiv math.CAの新着論文17本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-04/

1. Minimizers of one-dimensional regularization problems with linear and nonlinear total variation
2. On an Erd\"os Problem about the Maximum Modulus of Littlewood Polynomials on the Unit Circl
3. Bessel-Like Multiple Orthogonal Polynomials of Mixed Type
4. Positive Bidiagonal Factorizations for Banded Markov Processes
5. Evaluation of terminating and non-terminating sums containing the digamma function
6. Dual boundedness of the maximal operator on concave Banach function spaces
7. Sharp weighted norm estimates for the positive Bergman operator: the two-parameter case
8. A proof of the Szeg\H{o} conjecture on Jacobi extrema
9. Sparse supports of lattice eigenfunctions: quantitative growth and algebraic rigidity
10. Poincar\'e inequalities on hyperbolic-type spaces
11. Convex order, log-convexity and moments of averages of random variables
12. The Hardy averaging operator between Orlicz spaces and a new gauge functional characterizing a given Orlicz space
13. Distribution of simplices in the discrete and continuous settings
14. Nondegeneracy and regularity of polynomial pushforwards
15. On Weighted Local Morrey-type and Complementary Local Morrey-Type Spaces
16. Pointwise endpoint limits for nonlocal operators
17. A Bismut-Elworthy-Li formula for linear stochastic evolution equations in Banach spaces

arXiv math.CAの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-03/

1. From 12 to 6: Sharpening the Three-Charge Bound in Maxwell's Problem
2. Favard length and generalized projections
3. Nonconcentration of eigenfunctions in Microlocal Kakeya-Nikodym norms: a phase space approach
4. Perturbed Dyadic Cubes and Quantitative Estimates for Schr\"odinger Operators with Potentials in $RH^{n/2}$
5. Khovanskii's Bezout-type Theorem for Pfaffian Functions: A Self-Contained Proof, and Applications

arXiv math.CAの新着論文9本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-31/

1. Airy Turning-Point Asymptotics for Ramanujan's Entire Function $A_q(z)$
2. Curved Kakeya problems and the projective geometry of paths
3. Almost everywhere convergence of Mock Fourier series for the standard middle-fourth Cantor measure with respect to its canonical spectrum
4. Limit theorems for differential systems with multipoint boundary conditions in Sobolev spaces
5. Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains
6. Embedding $C(K)$ for countable $K$ into $C([0,1])$ as Besicovitch functions
7. Approximation by Kantorovich-type operators in general Banach spaces
8. New universality classes associated to fractals
9. Eventually greedy best Egyptian underapproximations of rational numbers via optimal control

arXiv math.CAの新着論文10本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-30/

1. Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation
2. Asymptotic for orthogonal polynomials with respect to a rational modification of a measure supported on the semi-axis
3. A Mixed-Resonance Counterexample to the Lukic Conjecture
4. Holder regularity of Hartman-Grobman theorem on vector bundle
5. Appell Polynomials in Shifted Asymptotic Expansions: the Mills ratio, Hermite polynomials, and Stieltjes bounds
6. Dynamical phase retrieval for Schr{\"o}dinger evolution on finite graphs
7. On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group
8. Weak geometric lemma for ADR boundary of a uniform domain implies uniform rectifiability
9. The HRT Conjecture for Symmetric Configurations and Real-Valued Functions
10. Geometry of strong forces in continuum mechanics

arXiv math.CAの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-29/

1. A Lusin theorem for nonlocal gradients
2. The Endpoint Eigenfunction Bound for the Hermite Operator in Two Dimensions
3. The Winding Number at the Critical H\"older Exponent 1/3: Failure of Universal Fourier Summation
4. Multi-Parameter Exponential Sums with Product Hilbert Kernels
5. An antichain approach to a conjecture of Zygmund
6. Mimicking diffusion processes with differential equations
7. Jacobi polynomials on the simplex of Hermitian matrices and zonal spherical functions on partial flag manifolds
8. P\'olya's Conjecture for the Neumann Laplacian on Euclidean Balls

arXiv math.CAの新着論文15本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-28/

1. Symmetric Jacobi Polynomials on a Triangle and Their Spectral Algebra
2. $L^p$-Integrability of Radon-Nikodym Densities Between Harmonic Energy Measures on the Sierpinski Gasket
3. Weak-$A_\infty$ packing and estimates for fractional sparse forms on spaces of homogeneous type
4. Spectrality of Moran-Type Measures Generated by Two-Element and Three-Element Digit Sets
5. A Fixed-Point Construction of the Elementary Transcendental Functions
6. Nonexistence of universal Fourier summation formulas for the degree below the H\"older threshold $\alpha=1/3$
7. Weak porosity in spaces of homogeneous type
8. Fuglede's conjecture holds for three intervals
9. Continuous solutions of the complex Kac--Bernstein functional equation on the integers and the real numbers
10. Optimal bounds for the ratio of differences of quadratic, arithmetic, and harmonic means
11. Asymptotic areas between powers of sine and cosine curves
12. Jittered sampling and probability measures
13. Isoperimetric-Combinatorial Bounds for Range-Controlled Matchings and Quasi-Interpolation from Scattered Data
14. An independent proof of the plunge-region conjecture for time-frequency localization operators in dimension one
15. Linear relations modulo meager sets

arXiv math.CAの新着論文9本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-27/

1. Discrete nonlinear H\"older--Brascamp--Lieb inequalities: a local approach
2. Bourgain-Ruzsa Type Estimates for the Maximum and Minimum of Littlewood Cosine polynomials on the Real Line
3. Dual spaces and T1 theorem of variable Dunkl--Hardy spaces
4. Variable Hardy spaces in the Dunkl Setting
5. Equality problem for generalized quasiarithmetic means generated by discontinuous strictly monotonic functions
6. Characterization of the boundedness of the segment multiplier on rearrangement-invariant spaces
7. The fractional Kontorovich-Lebedev transform
8. Fourier decay and non-decay for pseudo-affine self-conformal measures
9. Gelfand-type problem for turbulent jets: sharp $L^\infty$ bound on extremal solutions

arXiv math.CAの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-24/

1. A characterization of compact open spectral sets in $\mathbb{Q}_p^d$
2. Endpoint estimates for multiparameter multipliers of Marcinkiewicz type
3. Extremal Functions and Widom Factors on Compact Riemann Surfaces
4. The Frankl--Tokushige product conjectures for $r$-cross-intersecting families
5. Eigenfunctions, free boundaries, and time-frequency localization

arXiv math.CAの新着論文6本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-23/

1. Dimension drop for intersections of Cantor sets
2. Rough averages of triangular Hilbert transforms
3. A solution to Meneguette's polynomial problem
4. Pinned nonempty interior and volumes of simplices
5. The missing two-point inequality in Weissler's conjecture
6. Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion

arXiv math.CAの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-22/

1. Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution
2. Minkowski dimension and content of complex continued fractions
3. Projected Inner-Function Dynamics and Crystalline Measures of Meyer-Blaschke type
4. Optimal concentration in the Paley-Wiener space
5. Chaos in the Order of Finite Bernoulli Convolutions
6. Metric entropy of the space of holomorphic functions
7. Counterexamples to the xz-Conjecture and the Mathieu Conjecture for SU(2)

arXiv math.CAの新着論文13本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-21/

1. Interactions between quantitative rectifiability, singular integrals, and boundary value problems for harmonic functions
2. Properties of two Chebyshev-like polynomial sequences
3. Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses
4. Endpoint Criteria for One-Dimensional Bilinear Rough Singular Integrals
5. On monodromy and spectral geometry of generalized Lam\'e equations with four singularities, I: half periods
6. Discrete analogues in harmonic analysis: Multi-parameter Radon averages
7. On off-diagonal operators in matrix-weighted spaces
8. Ideal G{\aa}rding polynomials
9. On Erdos-Falconer distance problem in even dimensions
10. Fractal Tur\'{a}n-Nazarov Inequality and Observability for Schr\"{o}dinger Equations
11. Hardy spaces of discrete holomorphic functions on the upper half-lattice
12. Structural Properties of the K\"othe Dual of the Matricial Bloch Space
13. Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$

arXiv math.CAの新着論文13本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-20/

1. Theory and Computation of Discrete Sturm--Liouville Problems on Non-Uniform Grids via the Pr\"ufer Transformation
2. On the parabolic $H^p$ theory generated by $(p,\infty)$-atoms for $0
3. H\"older functions with nonporous graphs
4. Locatedness, Convexity, and Integrability in $\mathbb{R}^N$
5. Orthonormal Sobolev estimates with fractal measures
6. Fourier inequalities in variable Lebesgue spaces
7. Sharp L^4 restriction estimates for surfaces of codimension two in R^5
8. Sharp decay estimates for $(2+1)$-dimensional oscillatory integral operators via Newton height
9. Both directions of Fuglede's conjecture fail in dimension two
10. Smooth projections of self-similar measures
11. Canonical Mandelbrot Cascades on Curves Are Rajchman
12. Quantum Mechanics on Lie Groups: II. Path Integrals
13. Pointwise Convergence of Ergodic Averages Along Integer Cantor Sets