| 書目名稱 | Numerical Fourier Analysis | | 編輯 | Gerlind Plonka,Daniel Potts,Manfred Tasche | | 視頻video | http://file.papertrans.cn/669/668992/668992.mp4 | | 概述 | Offers the first unified presentation of Fourier analysis and corresponding numerical algorithms.Discusses many recent research developments in numerical Fourier analysis.Explores application in signa | | 叢書名稱 | Applied and Numerical Harmonic Analysis | | 圖書封面 |  | | 描述 | New technological innovations and advances in research in areas such as spectroscopy, computer tomography, signal processing, and data analysis require a deep understanding of function approximation using Fourier methods.? To address this growing need, this monograph combines mathematical theory and numerical algorithms to offer a unified and self-contained presentation of Fourier analysis.? ? ?.The first four chapters of the text serve as an introduction to classical Fourier analysis in the univariate and multivariate cases, including the discrete Fourier transforms, providing the necessary background for all further chapters. Next, chapters explore the construction and analysis of corresponding fast algorithms in the one- and multidimensional cases. The well-known fast Fourier transforms (FFTs) are discussed, as well as recent results on the construction of the nonequispaced FFTs, high-dimensional FFTs on special lattices, and sparse FFTs.? An additional chapter is devoted to discrete trigonometric transforms and Chebyshev expansions.? The final two chapters consider various applications of numerical Fourier methods for improved function approximation, including Prony methods for | | 出版日期 | Book 2023Latest edition | | 關(guān)鍵詞 | Numerical Fourier Analysis; Discrete Fourier Transforms; Fast Fourier Transforms; Multidimensional Four | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-031-35005-4 | | isbn_softcover | 978-3-031-35007-8 | | isbn_ebook | 978-3-031-35005-4Series ISSN 2296-5009 Series E-ISSN 2296-5017 | | issn_series | 2296-5009 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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