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