On the Airy reproducing kernel, sampling series, and quadrature formula

DOI10.1007/s00020-009-1666-1zbMath1188.46015OpenAlexW1971446169MaRDI QIDQ733640

Eli Levin, Doron S. Lubinsky

Publication date: 19 October 2009

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-009-1666-1

zbMATH Keywords

reproducing kernelAiry kernelsampling series

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (6)

The polyanalytic Ginibre ensembles ⋮ Mean Convergence of Interpolation at Zeros of Airy Functions ⋮ On Marcinkiewicz-Zygmund Inequalities at Hermite Zeros and Their Airy Function Cousins ⋮ Integrals involving products of Airy functions, their derivatives and Bessel functions ⋮ Integrals containing products of Airy functions and planar photon propagation in a magnetic field ⋮ Eigenfunctions of the Airy's integral transform: Properties, numerical computations and asymptotic behaviors

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