9781461482598
IR
EN-52408
انگلیسی
IR
Prolate Spheroidal Wave Functions of Order Zer
[Book]
:Mathematical Tools for Bandlimited Approximation
/ by Andrei Osipov, Vladimir Rokhlin, Hong Xiao
Boston, MA
: Springer US :Imprint: Springer,
, 2013.
XI, 379 p. 30 illus., online resource.
(Applied Mathematical Sciences,0066-5452
; 187)
Electronic
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.
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 .-.?╗╣
Applied Mathematical Sciences,0066-5452
187
Mathematics
Numerical analysis
Engineering mathematics
Electronic books
E-BOOK
Osipov, Andrei.
Rokhlin, Vladimir
Xiao, Hong
SpringerLink (Online service)
ایران
9781461482581.pdf
عادی
عادی
9781461482581.pdf
متن
old catalog
e
BL
1
a
Y
