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February 07 , 2009

Prolate Spheroidal Wave Functions of Order Zero

Mathematical Tools for Bandlimited Approximation


Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. As such, they playan important role in signal processing, Fourier analysis, andapproximation theory. While historically the numerical evaluationof PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as anyother class of special functions. As a result, PSWFs have been becoming a popular computational tool.

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The present book serves as a complete, self-contained resource for both theory and computation. It will be of interest to a wide range of scientists and engineers, from mathematicians interested in PSWFs as an analytical tool to electrical engineers designing filters and antennas.

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