Prolate Spheroidal Wave Functions of Order Zero : Mathematical Tools for Bandlimited Approximation

Osipov, Andrei; Rokhlin, Vladimir; Xiao, Hong

ISBN 10: 1489978658 / ISBN 13: 9781489978653

Published by Springer, 2016

About this Item

Unread book in perfect condition.

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Bibliographic Details

• Title: Prolate Spheroidal Wave Functions of Order Zero : Mathematical Tools for Bandlimited Approximation
• Publisher: Springer
• Publication Date: 2016
• Language: English
• ISBN 10: 1489978658
• ISBN 13: 9781489978653
• Binding: Soft cover
• Condition: As New

About this title

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 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.