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Book Categories |
Preface | ||
Itinerary | 1 | |
1 | Basic Fourier Analysis | 3 |
2 | Time-Frequency Analysis and the Uncertainty Principle | 21 |
3 | The Short-Time Fourier Transform | 37 |
4 | Quadratic Time-Frequency Representations | 59 |
5 | Discrete Time-Frequency Representations: Gabor Frames | 83 |
6 | Existence of Gabor Frames | 103 |
7 | The Structure of Gabor Systems | 127 |
8 | Zak Transform Methods | 147 |
9 | The Heisenberg Group: A Different Point of View | 175 |
10 | Wavelet Transforms | 203 |
11 | Modulation Spaces | 215 |
12 | Gabor Analysis of Modulation Spaces | 245 |
13 | Window Design and Wiener's Lemma | 277 |
14 | Pseudodifferential Operators | 301 |
Appendix | 329 | |
References | 335 | |
Index | 355 |
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