Generalized prolate spheroidal wave functions: spectral analysis and approximation of almost band-limited functions

DOI10.1007/s00041-015-9420-3zbMath1338.42036arXiv1503.01745OpenAlexW3099627694MaRDI QIDQ276078

Ahmed Souabni, Abderrazek Karoui

Publication date: 26 April 2016

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

Full work available at URL: https://arxiv.org/abs/1503.01745

zbMATH Keywords

Jacobi polynomialsSturm-Liouville operatorsBessel functionsband-limited functionsprolate spheroidal wave functionsfinite weighted Fourier transform

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Approximation by other special function classes (41A30) Lamé, Mathieu, and spheroidal wave functions (33E10)

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Uses Software

• DLMF

Cites Work

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