Numerical fourier analysis
Contributor(s): Plonka, Gerlind [ed.] | Potts, Daniel [ed.] | Steidl, Gabriele [ed.] | Tasche, Manfred [ed.].
Series: Applied and numerical harmonic analysis. / edited by John J. Benedetto.Publisher: Switzerland Birkhauser Springer 2018Description: xvi, 618p.ISBN: 9783030043056.Subject(s): Numerical analysis | Harmonic analysisDDC classification: 515.786 | N917 Summary: 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.Item type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
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PK Kelkar Library, IIT Kanpur | General Stacks | 515.786 N917 (Browse shelf) | Checked out to Prakash Nainwal (S1910827300) | 13/07/2024 | A184441 |
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515.782 T624 TOPICS IN SOBOLEV SPACES AND APPLICATIONS. | 515.785 H838N NON-ABELIAN HARMONIC ANALYSIS | 515.785 ST34H HARMONIC ANALYSIS | 515.786 N917 Numerical fourier analysis | 515.8 As31r REAL VARIABLES WITH BASIC METRIC SPACE TOPOLOGY | 515.8 B284i3 Introduction to real analysis | 515.8 B284i3 Introduction to real analysis |
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.
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