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 $\mathbb{Q}_p$

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/2026-07-13/

1. Integrability of a composition of functions
2. Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses
3. Quartic Fourier-Laplace limits for $(p,q)$-Rogers-Szeg\H{o} polynomials
4. Sharp and Endpoint Two-Weight Fractional Integral Estimates for Schr"odinger Operators with Inverse-Square Potentials
5. Approximation by quasi-projection operators and dual wavelet frames in Sobolev spaces
6. Log-convexity and log-concavity of noncentral gamma sums and differences
7. Weak-type estimates for the Bergman projection on planar domains

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/2026-07-10/

1. A set of points on the sphere with small Riesz energy
2. On $(p,q)$-binomial coefficient ratios for complex parameters
3. Optimal Weak-Type Estimates and Their Applications of Lifted Rough Maximal Operators
4. Two-ends Furstenberg inequality for transversal families and applications to Fourier decay
5. A functional inequality related to Domar's uniform boundedness theorem
6. The logistic-normal integral and the moments of the logistic-normal distribution
7. Elliptic curves, Fourier ratio, and sampling complexity
8. Controllability and Exponential Mixing in Singular Interacting Particle Systems
9. Point-dimension theory (part II): The point-cross dimension

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/2026-07-09/

1. A note on the first variation of the total mass
2. Paul levy's Isoperimetric Problems on cyclic polygons
3. There is no degree independent Bombieri type inequality for non-homogeneous polynomials
4. Stable Phase Retrieval for Spans of Independent Random Variables