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Author Osipov, Andrei, author

Title Prolate spheroidal wave functions of order zero : mathematical tools for bandlimited approximation / Andrei Osipov, Vladimir Rokhlin, Hong Xiao
Published New York : Springer, 2013
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Description 1 online resource (xi, 379 pages) : illustrations
Series Applied Mathematical Sciences, 0066-5452 ; volume 187
Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 187. 0066-5452
Contents Mathematical and Numerical Preliminaries -- Overview -- Analysis of the Differential Operator -- Analysis of the Integral Operator -- Rational Approximations of PSWFs.-Miscellaneous Properties of PSWFs --?Asymptotic Analysis of PSWFs -- Quadrature Rules and Interpolation via PSWFs -- Numerical Algorithms
Summary 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 PSWF as an analytical tool to electrical engineers designing filters and antennas
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (SpringerLink, viewed October 14, 2013)
Subject Spheroidal functions.
Wave functions.
Form Electronic book
Author Rokhlin, Vladimir, 1952- author
Xiao, Hong, author
ISBN 1461482585 (print)
1461482593 (electronic bk.)
9781461482581 (print)
9781461482598 (electronic bk.)