Prolate Spheroidal Wave Functions of Order Zero

Prolate Spheroidal Wave Functions of Order Zero

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Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. As such, they play an important role in signal processing, Fourier analysis, and approximation theory. While historically the numerical evaluation of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any 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 of scientists and engineers, from mathematicians interested in PSWFs as an analytical tool to electrical engineers designing filters and antennas.Mathematical Tools for Bandlimited Approximation Andrei Osipov, Vladimir Rokhlin, Hong Xiao ... I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series, and Products, Seventh Edition, Elsevier Inc., 2007. G. Gripenberg, S.O. Londen, O. Staffans, Volterra Integral and Functional Equations, Encyclopedia of Mathematics and its Applications, Cambridge ... F. A. GrA¼nbaum, Eigenvectors of a Toeplitz Matrix: Discrete Version of the Prolate Spheroidal Wave Functions, SIAM J. Alg. Disc.

Title:Prolate Spheroidal Wave Functions of Order Zero
Author:Andrei Osipov, Vladimir Rokhlin, Hong Xiao
Publisher:Springer Science & Business Media - 2013-10-12


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