Numerical Fourier analysis /
Saved in:
| Author / Creator: | Plonka, Gerlind, author. |
|---|---|
| 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 |
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| 100 | 1 | |a Plonka, Gerlind, |e author. | |
| 245 | 1 | 0 | |a Numerical Fourier analysis / |c Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche. |
| 264 | 1 | |a Cham, Switzerland : |b Birkhäuser, |c 2018. | |
| 300 | |a 1 online resource (xvi, 618 pages) : |b illustrations (some color) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Applied and numerical harmonic analysis | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Online resource; title from digital title page (viewed on March 07, 2019). | |
| 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 Fourier analysis. |0 http://id.loc.gov/authorities/subjects/sh85051088 | |
| 650 | 7 | |a Fourier analysis. |2 fast |0 (OCoLC)fst00933401 | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Potts, Daniel, |e author. | |
| 700 | 1 | |a Steidl, Gabriele, |e author. | |
| 700 | 1 | |a Tasche, Manfred, |d 1943- |e author. |0 http://id.loc.gov/authorities/names/no2010099830 | |
| 830 | 0 | |a Applied and numerical harmonic analysis, |x 2296-5009 |0 http://id.loc.gov/authorities/names/n96092412 | |
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| 928 | |t Library of Congress classification |a QA403.5 .P56 2018 |l Online |c UC-FullText |u https://link.springer.com/10.1007/978-3-030-04306-3 |z Springer Nature |g ebooks |i 12559376 | ||