Weighted finite Fourier transform operator: uniform approximations of the eigenfunctions, eigenvalues decay and behaviour

DOI10.1007/s10915-016-0310-xzbMath1384.42018arXiv1512.02614OpenAlexW3104328375MaRDI QIDQ1704837

Abderrazek Karoui, Ahmed Souabni

Publication date: 13 March 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02614

zbMATH Keywords

Sturm-Liouville operatorsgeneralized prolate spheroidal wave functionsasymptotic approximations of eigenvalues and eigenfunctionsweighted finite Fourier transform

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Computation of special functions and constants, construction of tables (65D20) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Approximation by other special function classes (41A30)

Related Items (2)

Weighted finite Laplace transform operator: spectral analysis and quality of approximation by its eigenfunctions ⋮ Mean convergence of prolate spheroidal series and their extensions

Uses Software

• DLMF

Cites Work

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