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