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200 10$aProlate spheroidal wave functions of order zero $emathematical tools for bandlimited approximation /$fAndrei Osipov, Vladimir Rokhlin, Hong Xiao
205   $a1st ed. 2013.
210  1$aNew York :$cSpringer,$d2013.
215   $a1 online resource (xi, 379 pages) $cillustrations (some color)
225 1 $aApplied Mathematical Sciences,$x0066-5452 ;$v187
300   $a"ISSN: 0066-5452."
311   $a1-4614-8258-5 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- 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 .- .
330   $aProlate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. As such, they play an important role in signal processing, Fourier analysis, and approximation theory. While historically the numerical evaluation of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any other class of special functions. As a result, PSWFs have been becoming a popular computational tool. The present book serves as a complete, self-contained resource for both theory and computation. It will be of interest to a wide range of scientists and engineers, from mathematicians interested in PSWF as an analytical tool to electrical engineers designing filters and antennas.
410  0$aApplied mathematical sciences (Springer-Verlag New York Inc.) ;$vvolume 187.
606   $aSpheroidal functions
606   $aWave functions
615  0$aSpheroidal functions.
615  0$aWave functions.
676   $a518
700   $aOsipov$b Andrei$4aut$4http://id.loc.gov/vocabulary/relators/aut$0524776
702   $aRokhlin$b Vladimir$fd. 1952-
702   $aXiao$b Hong
801  0$bMiFhGG
801  1$bMiFhGG
906   $aBOOK
912   $a9910739464503321
996   $aProlate Spheroidal Wave Functions of Order Zero$93553517
997   $aUNINA

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