Prolate Spheroidal Wave Functions of Order Zero

Mathematical Tools for Bandlimited Approximation

Nonfiction, Science & Nature, Mathematics, Number Systems, Technology, Electronics
Cover of the book Prolate Spheroidal Wave Functions of Order Zero by Andrei Osipov, Vladimir Rokhlin, Hong Xiao, Springer US
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Author: Andrei Osipov, Vladimir Rokhlin, Hong Xiao ISBN: 9781461482598
Publisher: Springer US Publication: October 12, 2013
Imprint: Springer Language: English
Author: Andrei Osipov, Vladimir Rokhlin, Hong Xiao
ISBN: 9781461482598
Publisher: Springer US
Publication: October 12, 2013
Imprint: Springer
Language: English

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.

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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.

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