Explorez tous les épisodes du podcast プレプリどんどん: math.CA

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/2026-06-24/

1. Weighted Hardy Inequalities for Nested Averages
2. Sufficient conditions for the existence of exponential-polynomial expansions for solutions of certain differential equations
3. Metric entropy of Fourier ratio classes on ${\mathbb Z}_N$
4. The Usual Square Function on Weakly Flat Sets
5. When Entropy flows: drifting along the route to Chaos
6. On the Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions
7. An integral formula for the inhomogeneous Jordan--von Neumann equation
8. A Disk-Growth Remez Principle and a Modular Proof of the Measurable Tur\'an-Nazarov Inequality
9. Long-time asymptotics of the autocorrelation function of the transverse Ising chain at the critical magnetic field Revisited

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/2026-06-23/

1. Necessary conditions for the existence of exponential-polynomial expansions for solutions of certain differential equations
2. A Critical-Scale Extension of Zhizhiashvili's Theorem for Rectangular Fourier Series
3. Minimality of the root functions of Sturm-Liouville problems with a boundary condition depending linearly on an eigenparameter
4. On the boundedness for the bilinear quadratic functional given by arbitrary strips
5. On Block Spaces on the Unit Sphere
6. Anisotropic Caffarelli-Kohn-Nirenberg inequalities with higher-order fractional derivatives
7. Smooth Solutions to Systems of Linear Inequalities on $\mathbb{R}$
8. A bilinear approach to the finite field restriction problem, II
9. Anisotropic 2D FUP and quantum open baker's map
10. On the Structure and Stability of Boundary Mixed Steady States in Evolutionary Games on Networks
11. Advancing fronts for the thin-film equation with null slip and repulsive potentials: the case of partial wetting
12. On It\^o-Stratonovich formula for rough sheets
13. Locality of rough path lifts
14. Prescribed--Energy Connecting Orbits for Quasilinear Conservative Systems
15. On the cyclicity of the period annulus of quasi-homogeneous polynomial vector fields
16. Compactness and Its Applications of Sobolev Spaces Associated with Ball Banach Function Spaces
17. Computing Gaussian and exponential integrals in ${\Bbb R}^n$

arXiv math.CAの新着論文16本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-09/

1. Functions of Bounded Variation and Point Processes
2. From generalized Poincar\'e to Poincar\'e-Sobolev inequalities via self-improving methods
3. Weighted Hardy Inequality in $l_2$
4. On the Constant and Extremal Function for Weighted Hardy Inequality in $L_p$
5. The Distance for Functions in BMO to BLO
6. Non-unique solutions to the periodic gKdV equation
7. Explicit bounds for Dickman's function
8. Effective quasianalytic Remez inequalities on tame sets
9. On chain rule and renormalization
10. Restriction estimates for toral eigenfunctions and lattice points in spherical regions
11. Algebraic Hodge generic points are dense
12. A non-testing characterization of bounded and compact composition operators on $\mathcal Q_p$ spaces
13. Quantization of measures in Carnot groups
14. The $L^p$ Neumann problem for parabolic operators with coefficients satisfying small Carleson condition
15. Fourier transform of nonlinear images of self-similar measures: qualitative aspects
16. Pathological function spaces and an unsolved Analysis I problem

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/2026-06-08/

1. Quasi-Orthogonal Polynomials and Exceptional Sequences
2. Convergence of sparse square-summable NLFT
3. The Sidon Decomposition Problem in Abelian Groups of Bounded Torsion
4. Discrepancy estimates for multi-dimensional non-smooth convex bodies: a case study
5. Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas
6. Discrete analogues in harmonic analysis: $TT^*$ methods
7. Dynamics and structure of pull-in and touchdown behavior in parallel-plate electrostatic MEMS actuators via geometric approaches
8. Visible parts and lower bounds on point-ray incidences
9. Multi-scale properties of continued fraction sets

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/2026-06-05/

1. A simple proof that the Riesz projection is bounded on $L^p(\mathbb{T})$ for $1
2. On the Macdonald-type function and its relation with index transforms and orthogonal polynomials
3. The Sharp Sadov Constant and Local Spectral Stability for Shapiro--Diananda Cyclic Sums
4. On the revolving structure of the L\'evy dragon and its linear transforms
5. The Ize Conjecture Redux: A Parity Criterion for Global Equivariant Bifurcation Guarantees
6. Algebraicity of exterior Cauchy transforms of algebraic ovals: a homological formulation
7. Large data scattering for the defocusing $k$-dispersion generalized Benjamin-Ono equation in the energy space

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/2026-06-04/

1. Almost everywhere divergence of double Fourier series along shrinking conical regions
2. From local to global asymptotic behaviour of orthogonal polynomials
3. Median porosity is quasiconformally invariant
4. Stokes phenomenon and quantum supergroup $U_q(\mathfrak{gl}(m|n))$
5. Uniqueness results for quasi-analytic functions on compact Lie groups and homogeneous spaces
6. Quantitative uniqueness properties for functions on compact quasi-analytic manifolds
7. Gaussian decay for the Harmonic oscillator

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/2026-06-03/

1. Sharp Log-Sobolev Inequalities for Finite Cyclic Groups with Word-Length
2. Maximal inequalities for derivatives of spherical means
3. Optimal constants of smoothing estimates for quantum harmonic oscillators
4. Multiple Orthogonal Polynomials on the Ball and Radial Extensions
5. On the prime field spherical restriction conjecture in four dimensions: breaking the Stein-Tomas exponent and applications
6. Weighted variational inequalities for the fractional Dunkl heat semigroup
7. Cylindrical generalized Ricci solitons in three dimensions

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/2026-06-02/

1. High-level convexity for products of squared Euclidean distance functions
2. A Quantified Two-projection Theorem for Nonlinear Projections
3. Chamber lifting and non-radial Dunkl multipliers
4. Constructing Discontinuous but Locally Bounded Rational Functions using \L ojasiewicz Inequalities
5. Multilinear extrapolation of compactness on mixed-norm spaces
6. Sharp sign uncertainty for trigonometric polynomials
7. Mehler formula for Wronskians of Hermite polynomials
8. Further evidence towards the Fourier Entropy-Influence conjecture
9. Empirical Approximation of $L_p$ Norms
10. On a Local Radial Rigidity Phenomenon of Elliptic Systems on Riemannian Manifolds
11. Frames of orbits of multiplication operators on Hardy spaces
12. $q$-Selberg extensions of Gasper's two stage $q$-beta integrals

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/2026-06-01/

1. Two-weight inequalities for the Dunkl--Poisson integrals
2. A Complete Solution of Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups $\mathbb{Z}_{n}$ for $n\geq 4$
3. P\'olya--Schur problems and free probability

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/2026-05-29/

1. Restriction problems on the three-dimensional Heisenberg nilmanifold
2. The manufacture of examples: the $(-1)$-classical orthogonal polynomials
3. Where not to find the spectrum of the partial theta function
4. Complex spectrum of the partial theta function
5. On hyperbolic corners and unit-area triangles in planar sets of large measure
6. The sharp log Sobolev inequality on finite cycles
7. Asymptotics of the Number of Components of Random Polynomial Lemniscates
8. Fractional Leibniz rules for the Dunkl Laplacian in Besov and Triebel--Lizorkin spaces
9. On the WALA conjecture, Alberti representations and applications

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/2026-05-28/

1. Half-Step-Invariant Sets, Admissible Maps, and Classical Orthogonal Polynomials
2. Positive Measure of Unions of Variable Surfaces
3. Simultaneous approximation properties of a certain genuine hybrid type operator
4. Improvement of a Hardy-Littlewood inequality and applications to the boundedness of analytic paraproducts on mixed norm spaces
5. A solution to the polarization 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/2026-05-27/

1. A description of the Laguerre-Hahn orthogonal polynomials of class zero revisited with two new families analogous to Bessel and new results for structure relations and differential equations
2. On a fundamental barrier of the Wirtinger criterion for Gabor systems with odd functions
3. A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$
4. ODE/IM Correspondence at the Free-Fermion Point. Laguerre Wronskians, Shifted Symmetric Functions, and Quantum KdV
5. Uncertainty Principles, Spectral Localization, and Singular Schr\"odinger Operators on Compact Manifolds
6. A Unified Range Characterization for the Spherical mean transform
7. A Counterexample to Kenig's Interpolation Problem for Sobolev Spaces with Zero Boundary Conditions
8. Weighted Riesz--Kolmogorov criterion and multilinear extrapolation of compactness on variable Lebesgue spaces

arXiv math.CAの新着論文4本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-19/

1. Optimal dimension-dependent $\ell^p$ and $\ell^{1,\infty}$ estimates of the discrete Riesz Transforms
2. The Littlewood-Paley formula and mean counting function for vertical limits of Dirichlet series
3. On $H=W$ in Banach function spaces
4. Comparison Theorems for the Profile Curve Equation of Rotationally Symmetric Self-Shrinkers

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/2026-05-26/

1. Decoupling for AD-regular sets on the parabola
2. On potentials of distributions in Orlicz-Hardy type spaces on the Heisenberg group
3. Pointwise behavior of SU(1,1) nonlinear Fourier transform
4. Optimal discrete $p$-Hardy-Rellich-Birman inequalities
5. Discriminants of derivatives and symmetric difference polynomials
6. Calderon-type commutators and chamber lifting in the Dunkl setting
7. Sparse domination of Calder\'on--Zygmund operators by mean oscillations
8. Well-poised basic q-Taylor expansions with complementary remainders and a two-basis kernel
9. Lattice point counting problems on step-two nilpotent Lie groups
10. Specular differentiation in normed vector spaces: Quasi-Mean Value and Quasi-Fermat Theorems
11. A Closed Form for the Chord-Power Integral I_2 of a Triangle
12. Degenerate constants in degree inequalities for Sobolev circle maps: on some problems posed by Brezis
13. A Borodin-Okounkov-Geronimo-Case identity for tilted Toeplitz minors
14. The indicator diagram theory for maximal type entire functions and the characterization of analytic continuability
15. Uniform heat kernel asymptotics for the Grushin operator

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/2026-05-25/

1. Discrete Pauli pairs
2. On a general method for deriving a fourth-order differential equation satisfied by Laguerre-Hahn orthogonal polynomials with new results for the class 0 analogous to Hermite
3. On almost periodicity in crystalline measures

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/2026-05-22/

1. Fourier analytic variants of the Furstenberg and Kakeya problems
2. Discrepancy of determinantal point processes on compact, connected two-point homogeneous spaces
3. On volumes of simplices in intermediate dimensions
4. A conjecture for arithmetic spherical maximal functions
5. Boundedness of the Hardy-Littlewood maximal operator on generalized fofana spaces
6. Hybrid and Component-wise Leggett-Williams type Fixed Point Theorems in Product Spaces with Applications

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/2026-05-21/

1. Weighted Uniform Endpoint Majorants for Integrals Involving Modified Bessel Functions
2. Brascamp--Lieb inequalities for fractal dimensions
3. $L^2$-Stability for STFT phase retrieval
4. Atomic Characterization and Its Applications of Matrix-Weighted Variable Hardy Spaces
5. Modified Painlev\'e systems with meromorphic solutions for polynomial Hamiltonians of all degrees

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/2026-05-20/

1. Some new estimates for generalized fractional integrals associated with operators on Morrey spaces
2. The bilinear cone multiplier on $\mathbb{R}^2\times \mathbb{R}^2$
3. The Poisson Matrix $\mathbf{A}_2$ characteristic and the 3/2 blow up of the Hilbert transform
4. The Law of the iterated logaritm for smooth functions
5. A discussion of two new proofs of Fefferman's Fourier extension theorem in the plane
6. Stability for Critical Points of the Hardy--Littlewood--Sobolev Inequality and a Dual Stability Framework

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/2026-05-19/

1. A Banach space that distinguishes two maximal operators
2. On singular integrals with non-negative kernels in the Heisenberg group
3. Gabor unconditional bases and frames in $L^p(\mathbb{R})$
4. Sharp Estimates for Conjugate Functions with Applications to Trigonometric Polynomials
5. What lies between polynomial and exponential growth?
6. On the spectra of Cantor measures
7. Zero correlations and averaged fields of orthonormal Gaussian functions

arXiv math.CAの新着論文4本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-18/

1. Generalized Error Bounds in the Recovery of Solitary Wave Profiles
2. Projections of convex polytopes to a line and higher univariate Prony systems
3. A Weyl-type theorem for Diophantine approximations driven by LCA groups and applications
4. Area of H\"older curves and coarea formula on the Heisenberg group

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/2026-05-15/

1. Optimal $C^{1,1}$ and Quasi-Optimal $C^2$ Monotone Interpolation with Curvature Control
2. Darboux-type formula for Jacobi biorthogonal polynomials
3. Compact Embedding Theorem Associated with Classical Weight {Functions} in Two Variables
4. A new proof of maximal theorem on Heisenberg groups
5. Bilinear embedding for divergence-form operators with first-order terms and negative potentials

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/2026-05-14/

1. Smirnov Decomposition of a Horizontal Vector Charge in the Heisenberg Group
2. Complex methods in the asymptotics of M\"obius energy integrals of helix curves
3. Variable Muckenhoupt $A_\infty$ Weights
4. Triebel-Lizorkin spaces and expansive matrices
5. Galerkin Approximation of the Fractional Sobolev Constant
6. Large values of shifted mixed character sums
7. Superharmonically Weighted Dirichlet Spaces

arXiv math.CAの新着論文1本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-13/

1. $\ell^{p}$ improving estimates for multilinear forms motivated by distance graphs

arXiv math.CAの新着論文4本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-06-18/

1. Classification of the hypergeometric orthogonal polynomials via their recurrence coefficients
2. General duality relations for hypergeometric and basic hypergeometric series
3. On weighted estimates for fractional operators and applications to Hardy-type inequalities
4. Two weight estimates for difference quotients

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/2026-05-12/

1. Isoperimetric Inequality for degenerate elliptic operators of Grushin type
2. Strichartz estimates for orthonormal systems on compact manifolds: the non-sharp region
3. Sharpness of convolution bounds for measures
4. Multilinear multiplier theorems and their applications to the Jacobian and the Hessian determinant
5. On the existence of optimizers for nonlinear time-frequency concentration problems: the Born--Jordan distribution
6. On the rational solutions of generalized Abel equations
7. Local Nonconvexity Indices for \(C^{1,1}\) Functions via Generalized Hessians
8. Recent progress of Littlewood-paley Theory with chirp function
9. Concentration effects and $\Gamma$-limit for the elastica functional for open and closed curves
10. The norm of the backward shift on $H^4$ is $\sqrt[4]{\varphi}$

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/2026-05-11/

1. On ratios of theta functions
2. Dyadic Martingale Transforms and Weighted Walsh-Carleson Operators
3. Hermite expansions of functions from the weighted Hardy class
4. Orthogonal Polynomials, a Szeg\H{o}--Verblunsky Theorem and Baxter's Theorem on the Quaternionic Sphere
5. Brownian-time Change of measure

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/2026-05-08/

1. Proof of the Holevo-Utkin conjecture on sharp $\ell_p$ norms for zero-sum vectors
2. Finitude of Limit Cycles of Linear Piecewise ODEs in the Cylinder
3. Fourier coefficients of continuous functions with sparse spectrum
4. Convexity of the embedding parameter sets of some analytic function spaces
5. Accessory Parameter of Confluent Heun Equations, Voros Periods and classical irregular conformal blocks
6. A multidimensional Szemer\'{e}di theorem in integers

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/2026-05-07/

1. Radial Integration in Continuous Dimension: A Mellin-Gamma Classification of Euclidean Ball Volume
2. On maximal functions associated with planar vector fields
3. Energy-minimizing measures supported near fractal 1-sets
4. de la Vall\'ee Poussin Means of Walsh-Fourier Expansions
5. Almost Everywhere Convergence of Arithmetic Means of Walsh--Fourier Partial Sums Along Subsequences
6. On Characterizations of (Almost) Strictly Convex Functions
7. On Tur\'{a}n's inequality: new general criteria, nonnegative representations and the class of generalized Chebyshev polynomials
8. Almost-Orthogonality in Lp Spaces: A Case Study with Grok
9. Smooth linearization of nonautonomous dynamics under general dichotomic behaviour
10. Non-uniqueness for a differential equation and a proof by ChatGPT
11. Theta functions and transformations of bilateral basic hypergeometric series
12. Grokability in five inequalities

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/2026-05-06/

1. Shifted L\'evy's Dragon Curve and Directed Graph
2. A novel asymptotic technique for integrals involving the Hankel contour and the Bleistein asymptotic formula
3. A discrete Hardy uncertainty principle
4. Exact ReLU realization of tensor-product refinement iterates
5. Two Regularized Determinants of Laplacian through Resurgence theory

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/2026-05-05/

1. Special Solutions of $q$-Heun Equation by $q$-Integral Transformations
2. Exact Loop Controllers for ReLU Realization of Homogeneous Curve Refinements
3. The strong version of nonlinear Carleson conjecture fails
4. Inhomogeneous Picard-Fuchs equations of Abelian integrals in piecewise smooth near-Hamiltonian systems
5. Weighted decoupling with lower-dimensional frequency localization
6. Time-periodic carrying simplex for a competitive system of Carath\'eodory ODEs
7. How Thick Is the Sierpi\'nski Triangle?
8. A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumeration
9. Self-similarity of unions of self-similar sets and their translations

arXiv math.CAの新着論文2本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-05-04/

1. A Unified Regularity Condition for Optimal Control: Bridging LICQ, MFCQ, and Subdifferentials
2. Existence and uniqueness of weak solutions to quasilinear PDEs with critical data

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/2026-05-01/

1. Propagation of nonlinear pulses near diffractive points of any order
2. A divisor function of Wigert and higher degree forms
3. G\r{a}rding Polynomials

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/2026-04-30/

1. Uncertainty Principle for distributions with Fourier transform in $L_{p,q}(\mathbb{R}^d)$
2. Compactness of bilinear singular integral with mild kernel regularity
3. Blend-to-zero operators for smooth transition functions
4. Non-symmetrically $t$-affine functions revisited
5. Quasi graph-additive functions with a prescribed branch
6. Fractions of Recurrence Operators for Generalized Fourier Series in Classical Orthogonal Polynomials
7. Limit cycles in piecewise smooth systems with circular switching manifold
8. Spectral Selection in Symmetric Self-Attention Dynamics
9. Recovering Product BMO from Schatten Hankel operators
10. Weighted Linearization of Vector Fields via a Formal Moser Trick

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/2026-04-29/

1. The Uncertainty Principle in Harmonic Analysis -- Lecture Notes on Selected Topics
2. The smoothest average and some extremal problems for polynomials
3. Weighted weak type $(1,1)$ estimates for oscillatory singular integrals with Dini kernels
4. Quantitative estimates for the absolute convergence of wavelet-type series
5. A curved three-point pattern problem for fractal sets on the real line
6. Interlacing of zeros of polynomials completed with two additional points
7. Asymptotically sharp embedding of $A_\infty$ into $A_p$ for flat weights and applications to Poincar\'e-Sobolev inequalities
8. Relocation without preference: A destination-agnostic Schelling-type metapopulation model
9. Boundary estimates for the fractional spherical maximal function
10. Sharp Strichartz estimate for the 1D periodic Schr\"odinger equation

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/2026-06-17/

1. Unbounded nonconvex Young differential inclusions: existence of a measurable selection of solutions
2. Littlewood-Paley and Carleson measure characterizations of Lipschitz spaces adapted to Schr\"{o}dinger operators
3. Spectral interpretation of Riemann zeta zeros
4. Weak and strong $q$-analogs of the Laguerre--P\'olya class
5. The Hall problem in domains
6. Uniqueness sets for functions of Dirichlet-type with restricted Taylor coefficients

arXiv math.CAの新着論文4本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-28/

1. Single-Point Higher-Order Szeg\H{o} Sum Rules in OPUC: Necessity for $m=1,2,3$
2. On a family of strong fractional maximal operators
3. A Six-Term Functional Equation and a Quartic Dilogarithm Ladder
4. A determinant identity for the sum of contour integral matrices

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/2026-04-27/

1. A counterexample to Abel-type asymptotics for scaled Volterra equations
2. A note on the sum-product problem for fractal sets
3. Skew-orthogonal polynomials for a quartic Freud weight: two classes of quasi-orthogonal polynomials
4. Continuity properties of strongly singular integral operators for extreme values of $p$
5. Existence of a periodic solution for superquadratic Hamiltonian systems with possible finite-time blow-up
6. Algebraic methods in periodic singular Liouville equations
7. $A_\infty$-invariance of oscillatory norms, and Schatten characterisations of commutators

arXiv math.CAの新着論文4本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-24/

1. Linear Response for Bernoulli Convolutions
2. Dimension Drop for Harmonic Measure on Ahlfors Regular Boundaries
3. $A^p_\alpha$ classes in the Dirichlet range: inner-outer factorization, Carleson measures and weak products
4. A theory of generalized Lam\'e curves

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/2026-04-23/

1. On reality of eigenvalues of banded block Toeplitz matrices
2. On Uniqueness of Mock Theta Functions
3. On the Sadowsky functional for anisotropic ribbons

arXiv math.CAの新着論文4本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-22/

1. Characterizations of Lyapunov domains in terms of Riesz transforms and the Plemelj-Privalov theorem
2. Multiparameter Marcinkiewicz integrals and a resonance theorem
3. On Fourier decay and the distance set problem
4. Boundedness properties of the bilinear fractional integral operators induced by hypermetrics of third order

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/2026-04-21/

1. On the packing dimension of projected measures
2. Counterexamples for lacunary dilates via dyadic spike blocks
3. Near-optimal density theorems for large dilates of large point configurations
4. The Adams trace theorem for product Morrey spaces
5. Rado's covering problem for cubes and balls: a semi-survey
6. Pointwise character bounds for $\mathrm{SU}(3)$
7. The Kerman-Sawyer trace theorem for product Morrey spaces
8. Multilinear embedding theorem for fractional sparse operators
9. Wave operators for Jacobi matrices

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/2026-04-20/

1. Uncertainty principles and singular potentials
2. Uniform estimates for Delannoy numbers and dimension-free estimates for discrete maximal functions over cross-polytopes
3. Bounded cohomology classes from differential forms

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/2026-04-17/

1. Energy, Polarization, and Separation of Greedy Sequences for Riesz and Green Kernels
2. On the orthogonality of solutions for higher-order non-Hermitian difference equations
3. On the Weighted Hardy Type Inequality for Functions from $W^1_p$ Vanishing on Small Parts of the Boundary
4. Restricted Projections to Hyperplanes in $\mathbb{R}^n$
5. Uniform volume estimates and maximal functions on generalized Heisenberg-type groups
6. Arithmetic functions and learning theory
7. On Certain Pfaffians Connected with the Inverse Problem for Collinear Central Configurations

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/2026-04-16/

1. Haar bases for multi-parameter twisted structures
2. On the Hausdorff dimension of graph of random vector-valued Weierstrass function
3. On the discrete Painlev\'e equivalence problem, non-conjugate translations and nodal curves
4. Contractive analytic self-mappings of the disc
5. Coagulation equations with particle emission

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/2026-04-15/

1. Higher-order asymptotics for the energy of greedy sequences on the unit circle
2. An eigenvalue result for Neumann BVPs with functional terms
3. Parabolic weak porosity and parabolic Muckenhoupt distance functions
4. On the Pointwise Convergence of Solutions to the Schr\"odinger Equation Along Certain Highly Tangential Curves
5. Uniqueness and non-uniqueness pairs for the fractional Laplacian

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/2026-06-16/

1. Multiplicative and Additive Finite Free Convolutions for q-Polynomials
2. Rational approximation to the Hurwitz-Lerch zeta function
3. The Opdam-Cherednik kernel is the Laplace transform of a positive measure
4. A universal support theorem for 1-Wasserstein optimal transport
5. From Fractional to Set Tilings for Pairs of Lattices
6. The Lagrange Inversion Theorem with Limited Smoothness
7. On the validity of Tonelli's Theorem
8. A Note on an Approximate Fixed Point Theorem for $\operatorname{VMO}$ Maps
9. A remark on Kolmogorov's theorem
10. Purely unrectifiable sets, fractal percolation and graphs of functions
11. Decoupling and Discrete Strichartz Estimates for Dispersive Equations on the Torus
12. On the relationship between block spaces and Orlicz spaces
13. Restriction estimates for surfaces with negative curvature in $\mathbb R^3$
14. Loewner chains with multiple boundary attraction points: A construction via close-to-convex functions
15. Maximal Ergodic Theorems for Operators with Finite Peripheral Spectrum
16. On the Bloch--Carleson measure problems
17. A Counterexample to the Necessity of the Vanishing Carleson Condition for VMO Poisson Kernels

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/2026-04-14/

1. The attainable almost sure large dimensions
2. Volterra periodic chain
3. Weighted mixed-norm estimates for circular averages and exceptional set estimates for the wave equation
4. On the non-uniqueness of continuous solutions to differential equations with a discrete state-dependent delay
5. Geronimus transformation and Sobolev-type orthogonal polynomials
6. Another approach to WKB analysis
7. Isotropic Positive Definite Functions on Spheres
8. A generalization of Reifenberg's theorem in R^N for flat cones
9. Complex analytic theory of Sturm-Liouville operators with Schatten $p$-class resolvents
10. Lagrangian formulation and Eulerian closure in alignment dynamics
11. Rigidity in the Planar Ulam Floating Body Problem with perimetral density $\sigma=\tfrac16$
12. Scattering for the Klein-Gordon-Schr\"odinger system in three dimensions with radial data
13. Feynman's linear divergence problem

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/2026-04-13/

1. Adams type Dunkl Stein-Weiss inequality on Dunkl Morrey spaces on the real line
2. P\'olya's shire theorem for a class of functions with essential singularities
3. Cotlar martingale transforms and related singular integrals

arXiv math.CAの新着論文4本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-04-10/

1. Endpoint Estimates for Certain Singular Integrals with Non-smooth Kernels
2. An Efficient Entropy Flow on Weighted Graphs: Theory and Applications
3. The two-weight fractional Poincar\'e-Sobolev sandwich
4. The Boolean surface area of polynomial threshold functions

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/2026-04-09/

1. The quantitative Beurling-Helson Theorem
2. Curves of tangencies of foliation pairs and normalizing transformations
3. Bourgain-Brezis-Mironescu formula for Riesz Potentials