LEADER 01258nam--2200385---450- 001 990001468100203316 005 20100630091843.0 035 $a000146810 035 $aUSA01000146810 035 $a(ALEPH)000146810USA01 035 $a000146810 100 $a20040302d2003----km-y0itay0103----ba 101 $afre 102 $aFR 105 $a||||||||001yy 200 $aAgriculture et monde agricole$fPerre Daucé 210 $aParis$cLa documentation Française$dcopyr. 2003 215 $a159 p.$d24 cm 225 2 $aNotes et études documentaires$v5176 410 0$12001$aNotes et études documentaires$v5176 606 0 $aAgricoltura$xAspetti economici$yFrancia$z1990 606 0 $aPolitica agricola$yFrancia$z1990 676 $a338.10944 700 1$aDAUCE',$bPierre$0559315 801 0$aIT$bsalbc$gISBD 912 $a990001468100203316 951 $aXXX.A. Coll. 150/ 288 (COLL HCP 5176)$bE.C.$cXXX.A. Coll. 150/ 288 (COLL HCP)$d00084215 959 $aBK 969 $aGIU 979 $aSIAV8$b10$c20040302$lUSA01$h1135 979 $aPATRY$b90$c20040406$lUSA01$h1743 979 $aMARIASEN$b90$c20050310$lUSA01$h1754 979 $aRSIAV4$b90$c20100630$lUSA01$h0918 996 $aAgriculture et monde agricole$9937425 997 $aUNISA LEADER 02678oam 2200481 450 001 9910739464503321 005 20190911103512.0 010 $a1-4614-8259-3 024 7 $a10.1007/978-1-4614-8259-8 035 $a(OCoLC)862222550 035 $a(MiFhGG)GVRL6YFS 035 $a(EXLCZ)993710000000024286 100 $a20130712d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$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