國立虎尾科技大學 |

Numerical Fourier Analysis

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Numerical Fourier Analysis/ by Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche.
Author:	Plonka, Gerlind.
other author:	Potts, Daniel.
Description:	XVI, 618 p. 51 illus., 30 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Harmonic analysis. -
Online resource:	https://doi.org/10.1007/978-3-030-04306-3
ISBN:	9783030043063

Numerical Fourier Analysis
Plonka, Gerlind.

Numerical Fourier Analysis[electronic resource] /by Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche. - 1st ed. 2018. - XVI, 618 p. 51 illus., 30 illus. in color.online resource. - Applied and Numerical Harmonic Analysis,2296-5009. - Applied and Numerical Harmonic Analysis,.

Fourier 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.

This 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.

ISBN: 9783030043063

Standard No.: 10.1007/978-3-030-04306-3doiSubjects--Topical Terms:

672073
Harmonic analysis.

LC Class. No.: QA403-403.3

Dewey Class. No.: 515.785

Numerical Fourier Analysis
LDR:02544nam a22003975i 4500 001 987938
003 DE-He213
005 20200706143900.0
007 cr nn 008mamaa
008 201225s2018 gw | s |||| 0|eng d
020 $a 9783030043063 $9 978-3-030-04306-3
024 7 $a 10.1007/978-3-030-04306-3 $2 doi
035 $a 978-3-030-04306-3
050 4 $a QA403-403.3
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKD $2 thema
082 0 4 $a 515.785 $2 23
100 1 $a Plonka, Gerlind. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1280308
245 1 0 $a Numerical Fourier Analysis $h [electronic resource] / $c by Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche.
250 $a 1st ed. 2018.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2018.
300 $a XVI, 618 p. 51 illus., 30 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Applied and Numerical Harmonic Analysis, $x 2296-5009
505 0 $a Fourier 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.
520 $a This 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.
650 0 $a Harmonic analysis. $3 672073
650 0 $a Numerical analysis. $3 527939
650 0 $a Information theory. $3 595305
650 0 $a Matrix theory. $3 1023862
650 0 $a Algebra. $2 gtt $3 579870
650 1 4 $a Abstract Harmonic Analysis. $3 672075
650 2 4 $a Numerical Analysis. $3 671433
650 2 4 $a Information and Communication, Circuits. $3 671312
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 672090
700 1 $a Potts, Daniel. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1280309
700 1 $a Steidl, Gabriele. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1280310
700 1 $a Tasche, Manfred. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1280311
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030043056
776 0 8 $i Printed edition: $z 9783030043070
830 0 $a Applied and Numerical Harmonic Analysis, $x 2296-5009 $3 1254485
856 4 0 $u https://doi.org/10.1007/978-3-030-04306-3
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)