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.
متن يادداشت
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 .-.?╗╣
فروست (داده ارتباطی)
عنوان
Applied Mathematical Sciences,0066-5452
شماره جلد
187
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Numerical analysis
موضوع مستند نشده
Engineering mathematics
موضوع مستند نشده
Electronic books
رده بندی کنگره
شماره رده
E-BOOK
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