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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