02678oam 2200481 450 991073946450332120190911103512.01-4614-8259-310.1007/978-1-4614-8259-8(OCoLC)862222550(MiFhGG)GVRL6YFS(EXLCZ)99371000000002428620130712d2013 uy 0engurun|---uuuuatxtccrProlate spheroidal wave functions of order zero mathematical tools for bandlimited approximation /Andrei Osipov, Vladimir Rokhlin, Hong Xiao1st ed. 2013.New York :Springer,2013.1 online resource (xi, 379 pages) illustrations (some color)Applied Mathematical Sciences,0066-5452 ;187"ISSN: 0066-5452."1-4614-8258-5 Includes bibliographical references and index.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 .- .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 PSWF as an analytical tool to electrical engineers designing filters and antennas.Applied mathematical sciences (Springer-Verlag New York Inc.) ;volume 187.Spheroidal functionsWave functionsSpheroidal functions.Wave functions.518Osipov Andreiauthttp://id.loc.gov/vocabulary/relators/aut524776Rokhlin Vladimird. 1952-Xiao HongMiFhGGMiFhGGBOOK9910739464503321Prolate Spheroidal Wave Functions of Order Zero3553517UNINA