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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...

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Bibliographic Details
Main Authors: Plonka, Gerlind, Potts, Daniel (Author), Steidl, Gabriele (Author), Tasche, Manfred (Author)
Format: eBook
Language:English
Published: Cham Birkhäuser 2023, 2023
Edition:2nd ed. 2023
Series:Applied and Numerical Harmonic Analysis
Subjects:
Computer Science / Mathematics
Numerical Analysis
Harmonic Analysis
Fourier Analysis
Mathematical Applications In Computer Science
Linear Algebra
Abstract Harmonic Analysis
Algebras, Linear
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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

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