プレプリどんどん: math.CA

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/2026-07-13/

1. Integrability of a composition of functions
2. Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses
3. Quartic Fourier-Laplace limits for $(p,q)$-Rogers-Szeg\H{o} polynomials
4. Sharp and Endpoint Two-Weight Fractional Integral Estimates for Schr"odinger Operators with Inverse-Square Potentials
5. Approximation by quasi-projection operators and dual wavelet frames in Sobolev spaces
6. Log-convexity and log-concavity of noncentral gamma sums and differences
7. Weak-type estimates for the Bergman projection on planar domains

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/2026-07-10/

1. A set of points on the sphere with small Riesz energy
2. On $(p,q)$-binomial coefficient ratios for complex parameters
3. Optimal Weak-Type Estimates and Their Applications of Lifted Rough Maximal Operators
4. Two-ends Furstenberg inequality for transversal families and applications to Fourier decay
5. A functional inequality related to Domar's uniform boundedness theorem
6. The logistic-normal integral and the moments of the logistic-normal distribution
7. Elliptic curves, Fourier ratio, and sampling complexity
8. Controllability and Exponential Mixing in Singular Interacting Particle Systems
9. Point-dimension theory (part II): The point-cross dimension

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/2026-07-09/

1. A note on the first variation of the total mass
2. Paul levy's Isoperimetric Problems on cyclic polygons
3. There is no degree independent Bombieri type inequality for non-homogeneous polynomials
4. Stable Phase Retrieval for Spans of Independent Random Variables

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/2026-07-08/

1. Riccati Reductions for Modified Bessel Ratios: Bernstein Positivity, Exact Certificates, and Transfer Obstructions
2. A Variation Norm Carleson Theorem Along the Primes
3. High-dimensional limits and extremizers for maximal functions associated with log-concave densities
4. On a measure-theoretic reading of $\beta$-Gr\"uss type inequalities
5. Separation Capacity of Scattering Networks on Low-Dimensional Datasets
6. Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$

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/2026-07-07/

1. A Bernstein--Ganzburg limit theorem for best weighted approximation
2. Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms
3. Trace bounds for limiting operators on rough domains
4. A variation on the P\'{o}lya-Seg\H{o} principle in one dimension
5. Weighted $H^p-L^q$ boundedness of integral operators with rough kernels
6. Non-universality of sumsets of lacunary sequences and arbitrary sets
7. Weighted estimates for fractional integrals with Distances to Bounded Median Porous Sets and applications to Hardy--Sobolev Inequalities
8. On the Arc Length of a Supercircle and a Hypergeometric Formulation of $\pi$
9. A Roth theorem in $\mathbb R^2$ and a related ergodic theorem
10. $\mathrm{L}^p$ bounds for parabolic Riesz transforms with rough coefficients: The case $1

11. Besicovitch's example in higher dimensions: a purely unrectifiable set with large lower density
12. Van Vleck spectra of high-order Heun operators:\ finite-band universality and exterior asymptotics
13. Preimage Regions of Symmetric Separable Maps on the Simplex: Convexity and Barycentric Star-Shapedness
14. Sobolev--Morrey Spaces and Divergence-Form Degenerate Second-Order Elliptic Equations on Domains with Higher Co-Dimensional Boundaries
15. Ramanujan-type identities for alternating Hurwitz zeta functions
16. H\"older maps under Pfaffian constraints
17. Bernstein Functions at Work: Coalescents, Copulas, and Subordination

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/2026-07-03/

1. Spectrality of factors of product spectral measures
2. Summability of formal solutions of some singular perturbations problems in differential and moment differential equations
3. Improved polynomial estimate for the Lebesgue constants of Leja sequences on finite unions of intervals
4. Weighted Extensions of Stein's Theorem for Linear and Multilinear Operators
5. Tiles and weak tiles in $\mathbb{Z}_{pq}$
6. Uniform bounds on the Dunkl kernel
7. Bochner-Riesz means on the Heisenberg group
8. Eliminating positive-measure level sets by small Lipschitz perturbations
9. A Probabilistic Sign Rule for Quotients of Positive Series and Integral Transforms
10. On perturbations that preserve the connectivity properties in tree percolations
11. Sharp Lower Bounds for Sumsets in Hypercubes
12. Flux solutions for stochastic chemical systems with sources and sinks

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/2026-07-02/

1. An order-interpolation inequality for Bessel functions
2. On volume vectors determined by hypergraphs in thin subsets of Euclidean space
3. The $2j-k$ and $j-2k$ Bi-orthogonal Polynomials on the Unit Circle: Further Properties and Riemann-Hilbert Characterizations
4. On the Peres--Schlag orthogonal projection problem and Kakeya-type sets
5. A Recurrence Based Summation Method for Ultra-Rapid Divergent Series and Renormalon Type Expansions
6. Bounds for the maximal and Riesz potential operators with variable fractionality
7. One-sided median porous sets and one-sided Muckenhoupt distance functions
8. Peres--Schlag's nonempty-interior problem and a shifted-product variant for product sets
9. Function-Counting Theory for Low-Dimensional Data Structures

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/2026-07-01/

1. Equivalence of the minimality conditions for the root functions of Sturm-Liouville problems with a boundary condition depending linearly on an eigenparameter
2. Order-Moment Transport and Hankel Determinants in Special-Function Inequalities
3. Conjectures of Bernstein and Erd\H os for weighted Lagrange interpolation on the halfline with exponential weights
4. A Beckmann boundary form of Talagrand's conjecture on the discrete cube
5. Sobolev spaces on snowtrees
6. Fractional integral and fractional maximal operators on generalized Fofana spaces
7. On the spherical Blaschke-Lebesgue problem
8. Periodic Non-uniqueness Sets for Shift-invariant Spaces and Parity-Based Obstructions to the Frame Property for Gabor Systems
9. Quantum Stokes matrices and quantum Riemann-Hilbert-Birkhoff maps

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/2026-06-30/

1. Kernel approximation beyond the native space -- with applications to approximation on manifolds
2. Mixed-Parabolicity and Mixed-Liouville Property for Products of Riemannian Manifolds
3. Estimate of the Rate of Convergence of Fourier Sums for Functions from Lebesgue Classes on a Set of Full Measure
4. Planar sets with large visible parts
5. Rectangles, triangles and Schr\"{o}dinger waves
6. Fourier decay and $L^p$ Sobolev smoothing for weighted hypersurface measures in ${\mathbb R}^3$
7. Equilibria in Motion: Stability, Tracking, and Convergence
8. Transition asymptotics for the real solutions of the sinh-Gordon Painlev\'e III equation
9. On a conjecture on $k$-antichains in the unit $n$-cube
10. On the Marstrand projection theorem for the Assouad spectrum
11. Modern Theory of Gradient-Based Optimization
12. The Concept of Wiener Amalgam Spaces
13. Definable Eventual Equalizers
14. A Delsarte Linear Programming Approach to the Erd\H{o}s--Falconer Distance Problem over Finite Fields
15. Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya
16. Generalized Hermite Polynomials and Spectral Degeneracies of a Singular Sextic Oscillator

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/2026-06-29/

1. Reduction of Multiple Orthogonal Polynomials to Standard Orthogonal Polynomials
2. On the Bourgain--Brezis--Mironescu spaces over Carleson tents
3. Which Saddles Contribute? The South-East Rule for Multidimensional Integrals