Prolate Spheroidal Wave Functions of Order Zero

Mathematical Tools for Bandlimited Approximation

AvAndrei Osipov,Vladimir Rokhlin

Häftad, Engelska, 2016

Del i serien Applied Mathematical Sciences

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Beskrivning

Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. 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.

Produktinformation

Utgivningsdatum:2016-08-23
Mått:155 x 235 x 22 mm
Vikt:593 g
Format:Häftad
Språk:Engelska
Serie:Applied Mathematical Sciences
Antal sidor:379
Förlag:Springer-Verlag New York Inc.
ISBN:9781489978653

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Mer om författaren

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.

Innehållsförteckning

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.-