Some further estimates of the prolate spheroidal wave functions and their spectrum

DOI10.1515/APAM-2015-5003zbMath1311.42066OpenAlexW2328702779MaRDI QIDQ2340116

Aline Bonami, Abderrazek Karoui

Publication date: 16 April 2015

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2015-5003

zbMATH Keywords

Sturm-Liouville operatoreigenvalues and eigenfunctionsasymptotic and uniform estimatesprolate spheroidal wave functionssinc kernel 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) Lamé, Mathieu, and spheroidal wave functions (33E10) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

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