Approximation of an analytic function on a finite real interval by a bandlimited function and conjectures on properties of prolate spheroidal functions

Author:

Boyd John P.

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference7 articles.

1. Chebyshev and Fourier Spectral Methods;Boyd,2001

2. A comparison of numerical algorithms for Fourier Extension of the First, Second and Third Kinds;Boyd;J. Comput. Phys.,2002

3. J.P. Boyd, Asymptotic Fourier coefficients for a C∞ bell (Smoothed-“Top-Hat” Function) and the Fourier Extension problem, Appl. Comput. Harmon. Anal. (2003), submitted for publication

4. J.P. Boyd, Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral and pseudospectral algorithms, J. Comput. Phys. (2003), submitted for publication

5. Some comments on Fourier analysis, uncertainty and modeling;Slepian;SIAM Rev.,1983

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