Approximations in Sobolev spaces by prolate spheroidal wave functions

• Published in: Applied and computational harmonic analysis Vol. 42; no. 3; pp. 361 - 377
• Main Authors: Bonami, Aline, Karoui, Abderrazek
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.05.2017; Elsevier
• Subjects: Classical Analysis and ODEs; Eigenvalues and eigenfunctions estimates; Mathematics; Prolate spheroidal wave functions; Sobolev spaces; Spectral approximation; secondary; Eigenvalues and eigenfunctions estimates; Spectral approximation; Sobolev spaces; Prolate spheroidal wave functions; primary; eigenvalues and eigenfunctions estimates; spectral approximation; 65L15 Key words and phrases Prolate spheroidal wave functions; 2010 Mathematics Subject Classification Primary 42C10; 65L70 Secondary 41A60

Recently, there is a growing interest in the spectral approximation by the Prolate Spheroidal Wave Functions (PSWFs) ψn,c,c>0. This is due to the promising new contributions of these functions in various classical as well as emerging applications from Signal Processing, Geophysics, Numerical Anal...