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

Book 67 of 94: Applied Mathematical Sciences

Osipov, Andrei; Rokhlin, Vladimir; Xiao, Hong

 
9781489978653: Prolate Spheroidal Wave Functions of Order Zero: Mathematical Tools for Bandlimited Approximation: 187 (Applied Mathematical Sciences, 187)

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.

"synopsis" may belong to another edition of 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.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9781461482581: Prolate Spheroidal Wave Functions of Order Zero: Mathematical Tools for Bandlimited Approximation: 187 (Applied Mathematical Sciences, 187)

Featured Edition

ISBN 10:  1461482585 ISBN 13:  9781461482581
Publisher: Springer, 2013
Hardcover