Applied Mathematical Sciences

Prolate Spheroidal Wave Functions of Order Zero

Mathematical Tools for Bandlimited Approximation

Authors: Osipov, Andrei, Rokhlin, Vladimir, Xiao, Hong

  • Aimed at a broad spectrum of scientists and engineers
  • Contains detailed description of practical numerical algorithms
  • Written by top international researchers in field
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  • ISBN 978-1-4614-8259-8
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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.

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.

Table of contents (10 chapters)

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-1-4614-8259-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-1-4614-8258-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-1-4899-7865-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Prolate Spheroidal Wave Functions of Order Zero
Book Subtitle
Mathematical Tools for Bandlimited Approximation
Authors
Series Title
Applied Mathematical Sciences
Series Volume
187
Copyright
2013
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-8259-8
DOI
10.1007/978-1-4614-8259-8
Hardcover ISBN
978-1-4614-8258-1
Softcover ISBN
978-1-4899-7865-3
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XI, 379
Number of Illustrations and Tables
30 b/w illustrations
Topics