プレプリどんどん: math.CA

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/2026-08-10/

1. Fractional Gagliardo--Nirenberg Inequalities: Pointwise Estimates,Sharp Asymptotics, and Optimal Target Spaces
2. Nineteen vectors and a certificate of their phase-retrieval injectivity in $\mathbb{C}^6$
3. Maximal estimates for perturbations of the Schr\"odinger operator on $\mathbb{T}^d$

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/2026-08-07/

1. Asymptotics of Polynomials Orthogonal on an Interval with Varying Weights
2. Degree-uniform regions for Gautschi's conjecture on subrange Jacobi polynomials
3. Decay rates for (2+1)-dimensional oscillatory integral operators with homogeneous polynomial phases
4. On number of cyclic $n$-roots and disjointness of Fourier supports
5. Effective Lagrangian regularity and the uniqueness threshold for random H\"older velocity fields

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/2026-08-06/

1. Bernstein-type bases on $q$-quadratic lattices and Askey--Wilson\slash $q$-Racah connection coefficients
2. Preservation of Positive-Definiteness by Bernstein Operators on the Circle
3. Two absolutely bounded determinantal ratios
4. A Counterexample to the Liu--Lou--Zhu $\mathcal Q_p$--Carleson Embedding Conjecture
5. Gabor Frames of Totally Positive Functions: A Complete Characterization
6. Linear dependence of time-frequency shifts of a Schwartz function

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/2026-08-05/

1. Laplace Asymptotics near Stratified Minimum Sets
2. Algebraic defect and positive mother body measures
3. On the endpoint estimate for discrete spherical average over sparse sequences
4. Optimized bounds for the product and the ratios of modified Bessel functions
5. Mechanical Implications of the Teleportation of Rigid Extended Bodies from the Perspective of Classical Mechanics and Mathematics
6. A solution to Crouzeix's conjecture
7. Strichartz estimates for quasi-periodic functions on long time intervals: An arithmetic approach
8. A Tau function for $q$-Painlev\'e VI as a Fredholm determinant

arXiv math.CAの新着論文17本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-04/

1. Minimizers of one-dimensional regularization problems with linear and nonlinear total variation
2. On an Erd\"os Problem about the Maximum Modulus of Littlewood Polynomials on the Unit Circl
3. Bessel-Like Multiple Orthogonal Polynomials of Mixed Type
4. Positive Bidiagonal Factorizations for Banded Markov Processes
5. Evaluation of terminating and non-terminating sums containing the digamma function
6. Dual boundedness of the maximal operator on concave Banach function spaces
7. Sharp weighted norm estimates for the positive Bergman operator: the two-parameter case
8. A proof of the Szeg\H{o} conjecture on Jacobi extrema
9. Sparse supports of lattice eigenfunctions: quantitative growth and algebraic rigidity
10. Poincar\'e inequalities on hyperbolic-type spaces
11. Convex order, log-convexity and moments of averages of random variables
12. The Hardy averaging operator between Orlicz spaces and a new gauge functional characterizing a given Orlicz space
13. Distribution of simplices in the discrete and continuous settings
14. Nondegeneracy and regularity of polynomial pushforwards
15. On Weighted Local Morrey-type and Complementary Local Morrey-Type Spaces
16. Pointwise endpoint limits for nonlocal operators
17. A Bismut-Elworthy-Li formula for linear stochastic evolution equations in Banach spaces

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/2026-08-03/

1. From 12 to 6: Sharpening the Three-Charge Bound in Maxwell's Problem
2. Favard length and generalized projections
3. Nonconcentration of eigenfunctions in Microlocal Kakeya-Nikodym norms: a phase space approach
4. Perturbed Dyadic Cubes and Quantitative Estimates for Schr\"odinger Operators with Potentials in $RH^{n/2}$
5. Khovanskii's Bezout-type Theorem for Pfaffian Functions: A Self-Contained Proof, and Applications

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/2026-07-31/

1. Airy Turning-Point Asymptotics for Ramanujan's Entire Function $A_q(z)$
2. Curved Kakeya problems and the projective geometry of paths
3. Almost everywhere convergence of Mock Fourier series for the standard middle-fourth Cantor measure with respect to its canonical spectrum
4. Limit theorems for differential systems with multipoint boundary conditions in Sobolev spaces
5. Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains
6. Embedding $C(K)$ for countable $K$ into $C([0,1])$ as Besicovitch functions
7. Approximation by Kantorovich-type operators in general Banach spaces
8. New universality classes associated to fractals
9. Eventually greedy best Egyptian underapproximations of rational numbers via optimal control

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/2026-07-30/

1. Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation
2. Asymptotic for orthogonal polynomials with respect to a rational modification of a measure supported on the semi-axis
3. A Mixed-Resonance Counterexample to the Lukic Conjecture
4. Holder regularity of Hartman-Grobman theorem on vector bundle
5. Appell Polynomials in Shifted Asymptotic Expansions: the Mills ratio, Hermite polynomials, and Stieltjes bounds
6. Dynamical phase retrieval for Schr{\"o}dinger evolution on finite graphs
7. On the Dimension of the CC-geodesic Kakeya sets in the first Heisenberg group
8. Weak geometric lemma for ADR boundary of a uniform domain implies uniform rectifiability
9. The HRT Conjecture for Symmetric Configurations and Real-Valued Functions
10. Geometry of strong forces in continuum mechanics

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/2026-07-29/

1. A Lusin theorem for nonlocal gradients
2. The Endpoint Eigenfunction Bound for the Hermite Operator in Two Dimensions
3. The Winding Number at the Critical H\"older Exponent 1/3: Failure of Universal Fourier Summation
4. Multi-Parameter Exponential Sums with Product Hilbert Kernels
5. An antichain approach to a conjecture of Zygmund
6. Mimicking diffusion processes with differential equations
7. Jacobi polynomials on the simplex of Hermitian matrices and zonal spherical functions on partial flag manifolds
8. P\'olya's Conjecture for the Neumann Laplacian on Euclidean Balls

arXiv math.CAの新着論文15本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-28/

1. Symmetric Jacobi Polynomials on a Triangle and Their Spectral Algebra
2. $L^p$-Integrability of Radon-Nikodym Densities Between Harmonic Energy Measures on the Sierpinski Gasket
3. Weak-$A_\infty$ packing and estimates for fractional sparse forms on spaces of homogeneous type
4. Spectrality of Moran-Type Measures Generated by Two-Element and Three-Element Digit Sets
5. A Fixed-Point Construction of the Elementary Transcendental Functions
6. Nonexistence of universal Fourier summation formulas for the degree below the H\"older threshold $\alpha=1/3$
7. Weak porosity in spaces of homogeneous type
8. Fuglede's conjecture holds for three intervals
9. Continuous solutions of the complex Kac--Bernstein functional equation on the integers and the real numbers
10. Optimal bounds for the ratio of differences of quadratic, arithmetic, and harmonic means
11. Asymptotic areas between powers of sine and cosine curves
12. Jittered sampling and probability measures
13. Isoperimetric-Combinatorial Bounds for Range-Controlled Matchings and Quasi-Interpolation from Scattered Data
14. An independent proof of the plunge-region conjecture for time-frequency localization operators in dimension one
15. Linear relations modulo meager sets