000 02895nam a22005055i 4500
001 978-1-4614-8259-8
003 DE-He213
005 20140220082831.0
007 cr nn 008mamaa
008 131012s2013 xxu| s |||| 0|eng d
020 _a9781461482598
_9978-1-4614-8259-8
024 7 _a10.1007/978-1-4614-8259-8
_2doi
050 4 _aQA297-299.4
072 7 _aPBKS
_2bicssc
072 7 _aMAT021000
_2bisacsh
072 7 _aMAT006000
_2bisacsh
082 0 4 _a518
_223
100 1 _aOsipov, Andrei.
_eauthor.
245 1 0 _aProlate Spheroidal Wave Functions of Order Zero
_h[electronic resource] :
_bMathematical Tools for Bandlimited Approximation /
_cby Andrei Osipov, Vladimir Rokhlin, Hong Xiao.
264 1 _aBoston, MA :
_bSpringer US :
_bImprint: Springer,
_c2013.
300 _aXI, 379 p. 30 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v187
505 0 _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 .- .
520 _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.
650 0 _aMathematics.
650 0 _aNumerical analysis.
650 0 _aEngineering mathematics.
650 1 4 _aMathematics.
650 2 4 _aNumerical Analysis.
650 2 4 _aSignal, Image and Speech Processing.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
700 1 _aRokhlin, Vladimir.
_eauthor.
700 1 _aXiao, Hong.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461482581
830 0 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v187
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-8259-8
912 _aZDB-2-SMA
999 _c96041
_d96041