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Discrete Fourier analysis /
Main Author: | |
---|---|
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.