Numerical Fourier Analysis

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...

詳細記述

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書誌詳細
主要な著者: Plonka, Gerlind (著者), Potts, Daniel (著者), Steidl, Gabriele (著者), Tasche, Manfred (著者)
団体著者: SpringerLink (Online service)
フォーマット: 電子媒体 eBook
言語:英語
出版事項: Cham : Springer International Publishing : Imprint: Birkhäuser, 2023.
版:2nd ed. 2023.
シリーズ:Applied and Numerical Harmonic Analysis,
主題:
オンライン・アクセス:https://doi.org/10.1007/978-3-031-35005-4
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目次:
  • Chapter. 1. Fourier series
  • Chapter. 2. Fourier transform
  • Chapter. 3. Discrete Fourier transforms
  • Chapter. 4. Multidimensional Fourier methods
  • Chapter. 5. Fast Fourier transforms
  • Chapter. 6. Chebyshev methods and fast DCT algorithms
  • Chapter. 7. Fast Fourier transforms for nonequispaced data
  • Chapter. 8. High dimensional FFT
  • Chapter. 9. Numerical applications of DFT
  • Chapter. 10. Prony method for reconstruction of structured functions
  • Appendix A
  • Index
  • References.