Authors:
- Aimed at a broad spectrum of scientists and engineers
- Contains detailed description of practical numerical algorithms
- Written by top international researchers in field
Part of the book series: Applied Mathematical Sciences (AMS, volume 187)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors and Affiliations
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Department of Mathematics, Yale University, New Haven, USA
Andrei Osipov
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Department of Computer Science, Yale University, New Haven, USA
Vladimir Rokhlin
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Department of Computer Science, University of California, Davis, Davis, USA
Hong Xiao
About the authors
Andrei Osipov is a Professor at Yale University in the Department of Mathematics.Vladimir Rokhlin is a Professor at Yale University in the Department of Computer Science. Hong Xiao is a Professor at University of California, Davis in the Department of Computer Science.
Bibliographic Information
Book Title: Prolate Spheroidal Wave Functions of Order Zero
Book Subtitle: Mathematical Tools for Bandlimited Approximation
Authors: Andrei Osipov, Vladimir Rokhlin, Hong Xiao
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-1-4614-8259-8
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-8258-1Published: 12 October 2013
Softcover ISBN: 978-1-4899-7865-3Published: 23 August 2016
eBook ISBN: 978-1-4614-8259-8Published: 12 October 2013
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XI, 379
Number of Illustrations: 30 b/w illustrations
Topics: Numerical Analysis, Signal, Image and Speech Processing, Mathematical and Computational Engineering