Prolate Spheroidal Wave Functions of Order Zero: Mathematical Tools for Bandlimited Approximation by Andrei Osipov, Vladimir Rokhlin, Hong Xiao |, Hardcover | Barnes & Noble
Prolate Spheroidal Wave Functions of Order Zero: Mathematical Tools for Bandlimited Approximation

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

by Andrei Osipov, Vladimir Rokhlin, Hong Xiao
     
 

Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctionsof 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

Overview

Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctionsof 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 rangeof scientists and engineers, from mathematicians interested in PSWFs as an analytical tool to electrical engineers designing filters and antennas.

Product Details

ISBN-13:
9781461482581
Publisher:
Springer US
Publication date:
10/31/2013
Series:
Applied Mathematical Sciences Series, #187
Edition description:
2013
Pages:
379
Product dimensions:
6.10(w) x 9.25(h) x 0.03(d)

Meet the Author

Andrei Osipov is a Professor atYale University in theDepartment of Mathematics.Vladimir Rokhlin is a Professor at Yale University in theDepartment of Computer Science. Hong Xiao isa Professor at University of California, Davis in the Department of Computer Science.

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