MARC Record from marc_columbia

LEADER: 03556cam a2200553 i 4500
001 15131430
005 20220521232433.0
006 m o d
007 cr cnu|||unuuu
008 180322s2000 ne ob 001 0 eng d
035 $a(OCoLC)on1029252120
035 $a(NNC)15131430
040 $aN$T$beng$erda$epn$cN$T$dEBLCP$dN$T$dYDX$dOCLCF$dOCLCQ$dK6U$dOCLCO$dOCLCQ$dOCLCO$dSGP
019 $a1029322427$a1029445185$a1029479332$a1029482142
020 $a9781420022414$q(electronic bk.)
020 $a1420022415$q(electronic bk.)
020 $z9789056992347
020 $z9056992341
035 $a(OCoLC)1029252120$z(OCoLC)1029322427$z(OCoLC)1029445185$z(OCoLC)1029479332$z(OCoLC)1029482142
050 4 $aQA403.5$b.S43 2000eb
072 7 $aMAT$x005000$2bisacsh
072 7 $aMAT$x034000$2bisacsh
082 04 $a515/.2433$223
049 $aZCUA
100 1 $aSedletskii, A. M.,$eauthor.
245 10 $aFourier transforms and approximations /$cA.M. Sedletskii ; translated from the Russian by E.V. Pankratiev.
264 1 $aAmsterdam, the Netherlands :$bGordon and Breach Science Publishers,$c[2000]
264 4 $c©2000
300 $a1 online resource
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aAnalytical methods and special functions,$x1027-0264 ;$vv. 4
504 $aIncludes bibliographical references and index.
505 0 $aChapter 1 Notation and some preliminaries from analysis -- chapter 2 Distribution of zeros of finite Fourier (Laplace) transforms -- chapter 3 Estimates of Fourier and Laplace transforms and their applications -- chapter 4 Laplace transforms in the weight spaces LP and their applications -- chapter 5 Stability of classes of finite Fourier transforms and its application -- chapter 6 Non-harmonic Fourier series (behaviour on the initial interval) -- chapter 7 Non-harmonic Fourier series (behaviour on the real line) -- chapter 8 The Miintz-Szasz problem -- chapter 9 Fourier transforms of rapidly decreasing functions -- chapter 10 Approximation by translates and exponents on the line.
520 3 $aThree classes of Fourier transforms are presented: Fourier (Laplace) transforms on the halfline, Fourier transforms of measures with compact support and Fourier transforms of rapidly decreasing functions (on whole line) The focus is on the behaviour of Fourier transforms in the region of analyticity and the distribution of their zeros. Applications of results are presented: approximation by exponentials on the finite interval; behavior of the nonharmonic Fourier series; Muntz-Szasz's problem of approximation by powers on unit interval; approximation by weighted exponentials on whole line.
650 0 $aFourier analysis.
650 0 $aFourier transformations.
650 2 $aFourier Analysis
650 6 $aAnalyse de Fourier.
650 7 $aMATHEMATICS$xCalculus.$2bisacsh
650 7 $aMATHEMATICS$xMathematical Analysis.$2bisacsh
650 7 $aFourier analysis.$2fast$0(OCoLC)fst00933401
650 7 $aFourier transformations.$2fast$0(OCoLC)fst00933413
655 4 $aElectronic books.
776 08 $iPrint version:$aSedletskii, A.M.$tFourier transforms and approximations.$dAmsterdam, the Netherlands : Gordon and Breach Science Publishers, ©2000$z9056992341$w(DLC) 2002421695$w(OCoLC)45410322
830 0 $aAnalytical methods and special functions ;$vv. 4.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio15131430$zTaylor & Francis eBooks
852 8 $blweb$hEBOOKS