The finite Hankel transform operator: some explicit and local estimates of the eigenfunctions and eigenvalues decay rates

DOI10.1007/s00041-017-9568-0zbMath1404.42052arXiv1701.04622OpenAlexW2579992610MaRDI QIDQ1634834

Mourad Boulsane, Abderrazek Karoui

Publication date: 18 December 2018

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04622

zbMATH Keywords

Sturm-Liouville operatorprolate spheroidal wave functionseigenfunctions and eigenvaluesapproximation of Hankel band-limited functionsfinite Hankel transform operator

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

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Mean convergence of prolate spheroidal series and their extensions ⋮ Method of moments for 3D single particleab initiomodeling with non-uniform distribution of viewing angles ⋮ Non-asymptotic behavior and the distribution of the spectrum of the finite Hankel transform operator

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