プレプリどんどん: math.CA

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