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Prolate Spheroidal Wave Functions of Order Zero: Mathematical Tools for Bandlimited Approximation
Paperback
Series: Applied Mathematical Sciences, Book 187
Technology & EngineeringGeneral Mathematics
ISBN13: 9781489978653
Publisher: Springer Nature
Published: Aug 23 2016
Pages: 379
Weight: 1.21
Height: 0.81 Width: 6.14 Depth: 9.21
Language: English
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.
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Prolate Spheroidal Wave Functions of Order Zero: Mathematical Tools for Bandlimited Approximation
Osipov, Andrei
Rokhlin, Vladimir
Xiao, Hong
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