プレプリどんどん: math.CA

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/2026-07-27/

1. Discrete nonlinear H\"older--Brascamp--Lieb inequalities: a local approach
2. Bourgain-Ruzsa Type Estimates for the Maximum and Minimum of Littlewood Cosine polynomials on the Real Line
3. Dual spaces and T1 theorem of variable Dunkl--Hardy spaces
4. Variable Hardy spaces in the Dunkl Setting
5. Equality problem for generalized quasiarithmetic means generated by discontinuous strictly monotonic functions
6. Characterization of the boundedness of the segment multiplier on rearrangement-invariant spaces
7. The fractional Kontorovich-Lebedev transform
8. Fourier decay and non-decay for pseudo-affine self-conformal measures
9. Gelfand-type problem for turbulent jets: sharp $L^\infty$ bound on extremal solutions

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/2026-07-24/

1. A characterization of compact open spectral sets in $\mathbb{Q}_p^d$
2. Endpoint estimates for multiparameter multipliers of Marcinkiewicz type
3. Extremal Functions and Widom Factors on Compact Riemann Surfaces
4. The Frankl--Tokushige product conjectures for $r$-cross-intersecting families
5. Eigenfunctions, free boundaries, and time-frequency localization

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/2026-07-23/

1. Dimension drop for intersections of Cantor sets
2. Rough averages of triangular Hilbert transforms
3. A solution to Meneguette's polynomial problem
4. Pinned nonempty interior and volumes of simplices
5. The missing two-point inequality in Weissler's conjecture
6. Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion

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/2026-07-22/

1. Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution
2. Minkowski dimension and content of complex continued fractions
3. Projected Inner-Function Dynamics and Crystalline Measures of Meyer-Blaschke type
4. Optimal concentration in the Paley-Wiener space
5. Chaos in the Order of Finite Bernoulli Convolutions
6. Metric entropy of the space of holomorphic functions
7. Counterexamples to the xz-Conjecture and the Mathieu Conjecture for SU(2)

arXiv math.CAの新着論文13本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-21/

1. Interactions between quantitative rectifiability, singular integrals, and boundary value problems for harmonic functions
2. Properties of two Chebyshev-like polynomial sequences
3. Heisenberg Uniqueness Pairs for a Hyperbola Branch: Supercritical Nonuniqueness for Shifted Lattice Crosses
4. Endpoint Criteria for One-Dimensional Bilinear Rough Singular Integrals
5. On monodromy and spectral geometry of generalized Lam\'e equations with four singularities, I: half periods
6. Discrete analogues in harmonic analysis: Multi-parameter Radon averages
7. On off-diagonal operators in matrix-weighted spaces
8. Ideal G{\aa}rding polynomials
9. On Erdos-Falconer distance problem in even dimensions
10. Fractal Tur\'{a}n-Nazarov Inequality and Observability for Schr\"{o}dinger Equations
11. Hardy spaces of discrete holomorphic functions on the upper half-lattice
12. Structural Properties of the K\"othe Dual of the Matricial Bloch Space
13. Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$

arXiv math.CAの新着論文13本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-20/

1. Theory and Computation of Discrete Sturm--Liouville Problems on Non-Uniform Grids via the Pr\"ufer Transformation
2. On the parabolic $H^p$ theory generated by $(p,\infty)$-atoms for $0
3. H\"older functions with nonporous graphs
4. Locatedness, Convexity, and Integrability in $\mathbb{R}^N$
5. Orthonormal Sobolev estimates with fractal measures
6. Fourier inequalities in variable Lebesgue spaces
7. Sharp L^4 restriction estimates for surfaces of codimension two in R^5
8. Sharp decay estimates for $(2+1)$-dimensional oscillatory integral operators via Newton height
9. Both directions of Fuglede's conjecture fail in dimension two
10. Smooth projections of self-similar measures
11. Canonical Mandelbrot Cascades on Curves Are Rajchman
12. Quantum Mechanics on Lie Groups: II. Path Integrals
13. Pointwise Convergence of Ergodic Averages Along Integer Cantor 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/2026-07-17/

1. Towards a characterization of idempotent Schur multipliers
2. Projections of self-affine sets onto lines
3. A construction of Kakeya Sets in Arbitrary Dimension
4. Approximation of solutions of the sinh-Gordon equation $\Delta u -\sinh(2u)=0$ by hyperbolic orthogonal ring patterns
5. Automorphic Nelson Dilations for Contractions and Invariant Subspace Tracking
6. On the entropy of the log-normal distribution
7. Global quadratic estimates for degenerate elliptic operators on cylinders

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/2026-07-16/

1. Existence of maximizers for $L^p$ Fourier extension from the hyperbolic paraboloid
2. The exact $L_1$-norm supremum of Walsh--Kaczmarz--Fej\'er kernels
3. Quantitative Fourier Restriction Estimates for Weyl Operators: Fourier-Support Dependence and Lower Bounds
4. Dynamic Universal Approximation via Signature Controlled Differential Equations
5. Inscribed squares of level sets of functions on the sphere

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/2026-07-15/

1. On generating functions and Mehler--Heine formulas for discrete Charlier and Meixner Sobolev-type orthogonal polynomials
2. Hyperbolic Arcsine Kernels, Finite Fourier Filters, and Quartic Central Binomial Harmonic Sums
3. Curious identities involving Legendre polynomials and Ap\'ery-like numbers

arXiv math.CAの新着論文13本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-14/

1. Riccati type recursions for some infinite series involving zeros of Bessel functions of the first kind
2. Determinacy Witnesses in the Completely Monotone--Stieltjes--Bernstein Hierarchy
3. From weighted paraboloid restriction to $k$-stars and distance graphs
4. Sharp higher order regularity of discrete maximal functions
5. Dilation-balanced product Pitt inequalities for mixed-tail potentials
6. On a Class of Hypergeometric Sums via Recurrences and Product Binomial-Harmonic Identities
7. Optimal Extrapolation Bounds for Sparse Fourier Sums
8. Hardy-Rogers and Jungck Type Fixed Point Theorems in Perturbed Metric Spaces, Stability and Data Dependence
9. The isomorphic section-projection problem for convex bodies
10. Lattice point counting in Cygan--Kor\'anyi balls on Heisenberg groups
11. Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds
12. Sharp Broken-Power Lorentz Estimates for Fractional Powers of Radial Schr\"odinger Operators with Inverse-Square Asymptotics
13. Fractal uncertainty principle over $\mathbb{Q}_p$