Prolate Spheroidal Wave Functions of Order Zero: Mathematical Tools for Bandlimited Approximation
Author:   Andrei Osipov ,  Vladimir Rokhlin ,  Hong Xiao
Publisher:   Springer-Verlag New York Inc.
Edition:   2013 ed.
Volume:   187
ISBN:  

9781461482581


Pages:   379
Publication Date:   12 October 2013
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Prolate Spheroidal Wave Functions of Order Zero: Mathematical Tools for Bandlimited Approximation


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Overview

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.

Full Product Details

Author:   Andrei Osipov ,  Vladimir Rokhlin ,  Hong Xiao
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2013 ed.
Volume:   187
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   7.096kg
ISBN:  

9781461482581


ISBN 10:   1461482585
Pages:   379
Publication Date:   12 October 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

​Introduction.- Mathematical and Numerical Preliminaries.- Overview.- Analysis of the Differential Operator.- Analysis of the Integral Operator.- Rational Approximations of PSWFs.-Miscellaneous Properties of PSWFs.-  Asymptotic Analysis of PSWFs.- Quadrature Rules and Interpolation via PSWFs.- Numerical Algorithms​.- 

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Author Information

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.

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