Andrei Osipov & Vladimir Rokhlin 
Prolate Spheroidal Wave Functions of Order Zero [PDF ebook] 
Mathematical Tools for Bandlimited Approximation

Supporto

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.

€96.29
Modalità di pagamento

Tabella dei contenuti

​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​.-

Circa l’autore

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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Lingua Inglese ● Formato PDF ● Pagine 379 ● ISBN 9781461482598 ● Dimensione 4.7 MB ● Casa editrice Springer US ● Città NY ● Paese US ● Pubblicato 2013 ● Scaricabile 24 mesi ● Moneta EUR ● ID 2831399 ● Protezione dalla copia DRM sociale

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