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010   $a3-030-04306-1
024 7 $a10.1007/978-3-030-04306-3
035   $a(CKB)4100000007598457
035   $a(DE-He213)978-3-030-04306-3
035   $a(MiAaPQ)EBC5675627
035   $a(PPN)235004340
035   $a(EXLCZ)994100000007598457
100   $a20190205d2018      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aNumerical Fourier analysis /$fby Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2018.
215   $a1 online resource (XVI, 618 p. 51 illus., 30 illus. in color.)
225 1 $aApplied and Numerical Harmonic Analysis,$x2296-5009
311   $a3-030-04305-3 
327   $aFourier series -- Fourier transforms -- Discrete Fourier transforms -- Multidimensional Fourier methods -- Fast Fourier transforms -- Chebyshev methods and fast DCT algorithms -- Fast Fourier transforms for nonequispaced data -- High dimensional FFT -- Numerical applications of DFT -- Prony method for reconstruction of structured functions.
330   $aThis book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function approximation using Fourier methods. It starts with a detailed discussion of classical Fourier theory to enable readers to grasp the construction and analysis of advanced fast Fourier algorithms introduced in the second part, such as nonequispaced and sparse FFTs in higher dimensions. Lastly, it contains a selection of numerical applications, including recent research results on nonlinear function approximation by exponential sums. The code of most of the presented algorithms is available in the authors? public domain software packages. Students and researchers alike benefit from this unified presentation of Fourier theory and corresponding algorithms.
410  0$aApplied and Numerical Harmonic Analysis,$x2296-5009
606   $aHarmonic analysis
606   $aNumerical analysis
606   $aInformation theory
606   $aMatrix theory
606   $aAlgebra
606   $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
606   $aInformation and Communication, Circuits$3https://scigraph.springernature.com/ontologies/product-market-codes/M13038
606   $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094
615  0$aHarmonic analysis.
615  0$aNumerical analysis.
615  0$aInformation theory.
615  0$aMatrix theory.
615  0$aAlgebra.
615 14$aAbstract Harmonic Analysis.
615 24$aNumerical Analysis.
615 24$aInformation and Communication, Circuits.
615 24$aLinear and Multilinear Algebras, Matrix Theory.
676   $a515.785
676   $a515.2433
700   $aPlonka$b Gerlind$4aut$4http://id.loc.gov/vocabulary/relators/aut$0955746
702   $aPotts$b Daniel$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aSteidl$b Gabriele$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aTasche$b Manfred$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910311940403321
996   $aNumerical Fourier Analysis$92163213
997   $aUNINA