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