Prolate Spheroidal Wave Functions of Order Zero: Mathematical Tools for Bandlimited Approximation: 187 (Applied Mathematical Sciences, 187) - Hardcover

Osipov, Andrei; Rokhlin, Vladimir; Xiao, Hong

Hardcover

ISBN 10: 1461482585 ISBN 13: 9781461482581

Publisher: Springer, 2013

Synopsis

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 this title

About the Author

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.

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2013
• Language: English
• ISBN 10: 1461482585
• ISBN 13: 9781461482581
• Binding: Hardcover
• Number of pages: 390