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Discrete Fourier analysis /

Bibliographic Details
Main Author: Wong, M. W.
Format: Printed Book
Language:English
Published: Basel : Birkhäuser, c2011.
Series:Pseudo-differential operators, theory and applications ; 5.
Subjects:
Table of Contents:
  • 1. The finite fourier transform
  • 2. Translation-invariant linear operators
  • 3. Circulant matrices
  • 4. Convolution operators
  • 5. Fourier multipliers
  • 6. Eigenvalues and Eigenfunctions
  • 7. The fast fourier transform
  • 8. Time-frequency analysis
  • 9. Time-frequency localized bases
  • 10. Wavelet transforms and filter banks
  • 11. Haar wavelets
  • 12. Daubechies wavelets
  • 13. The trace
  • 14. Hilbert spaces
  • 15. Bounded linear operators
  • 16. Self-adjoint operators
  • 17. Compact operators
  • 18. The spectral theorem
  • 19. Schatte-von Neumann classes
  • 20. Fourier series
  • 21. Fourier multipliers
  • 22. Pseudo-differential operators on S¹
  • 23. Pseudo-differential operators on Z.