Numerical Fourier analysis /
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| Author / Creator: | Plonka, Gerlind, author. |
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| Imprint: | Cham, Switzerland : Birkhäuser, 2018. |
| Description: | 1 online resource (xvi, 618 pages) : illustrations (some color) |
| Language: | English |
| Series: | Applied and numerical harmonic analysis Applied and numerical harmonic analysis, |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11792446 |
| 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. |
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| Physical Description: | 1 online resource (xvi, 618 pages) : illustrations (some color) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9783030043063 3030043061 9783030043056 |