Prolate Spheroidal Wave Functions of Order Zero
Mathematical Tools for Bandlimited Approximation
(Sprache: Englisch)
A complete resource on theory and computation, this book will be of interest to a range of practitioners, from mathematicians interested in prolate spheroidal wave functions as an analytical tool to electrical engineers designing filters and antennas.
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A complete resource on theory and computation, this book will be of interest to a range of practitioners, from mathematicians interested in prolate spheroidal wave functions as an analytical tool to electrical engineers designing filters and antennas.
Klappentext zu „Prolate Spheroidal Wave Functions of Order Zero “
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.
Inhaltsverzeichnis zu „Prolate Spheroidal Wave Functions of Order Zero “
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 .-
Autoren-Porträt von Andrei Osipov, Vladimir Rokhlin, Hong Xiao
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.
Bibliographische Angaben
- Autoren: Andrei Osipov , Vladimir Rokhlin , Hong Xiao
- 2016, Softcover reprint of the original 1st ed. 2013, XI, 379 Seiten, Masse: 15,5 x 23,3 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 1489978658
- ISBN-13: 9781489978653
Sprache:
Englisch
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