Overview
Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions\xa0of the bandlimited operator in one dimension. As such, they play\xa0 an important role in signal processing, Fourier analysis, and\xa0 approximation theory. While historically the numerical evaluation\xa0 of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any\xa0 other class of special functions. As a result, PSWFs have been becoming a popular computational tool.The present book serves as a complete, self-contained resource for both theory and computation. It will be of interest to a wide range\xa0of scientists and engineers, from mathematicians interested in PSWFs as an analytical tool to electrical engineers designing filters and antennas.
