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OverviewProlate 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. Full Product DetailsAuthor: Andrei Osipov , Vladimir Rokhlin , Hong XiaoPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2013 ed. Volume: 187 Dimensions: Width: 15.50cm , Height: 2.20cm , Length: 23.50cm Weight: 7.096kg ISBN: 9781461482581ISBN 10: 1461482585 Pages: 379 Publication Date: 12 October 2013 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction.- 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.-ReviewsAuthor InformationAndrei 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. Tab Content 6Author Website:Countries AvailableAll regions |
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