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Book Categories |
Preface | ||
Contributors | ||
Introduction | 1 | |
I | Core Material | 21 |
1 | Construction of orthonormal wavelets | 23 |
2 | An introduction to the orthonormal wavelet transform on discrete sets | 51 |
3 | Gabor frames for L[superscript 2] and related spaces | 97 |
4 | Dilation equations and the smoothness of compactly supported wavelets | 163 |
5 | Remarks on the local Fourier bases | 203 |
II | Wavelets and Signal Processing | 219 |
6 | The sampling theorem, [phi]-transform, and Shannon wavelets for R, Z, T, and Z[subscript N] | 221 |
7 | Frame decompositions, sampling, and uncertainty principle inequalities | 247 |
8 | Theory and practice of irregular sampling | 305 |
9 | Wavelets, probability, and statistics: Some bridges | 365 |
10 | Wavelets and adapted waveform analysis | 399 |
11 | Near optimal compression of orthonormal wavelet expansions | 425 |
III | Wavelets and Partial Differential Operators | 447 |
12 | On wavelet-based algorithms for solving differential equations | 449 |
13 | Wavelets and nonlinear analysis | 467 |
14 | Scale decomposition in Burgers' equation | 505 |
15 | The Cauchy singular integral operator and Clifford wavelets | 525 |
16 | The use of decomposition theorems in the study of operators | 547 |
Index | 571 |
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Add Wavelets: Mathematics and Applications, Wavelets is a carefully organized and edited collection of extended survey papers addressing key topics in the mathematical foundations and applications of wavelet theory. The first part of the book is devoted to the fundamentals of wavelet analysis. The , Wavelets: Mathematics and Applications to the inventory that you are selling on WonderClubX
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Add Wavelets: Mathematics and Applications, Wavelets is a carefully organized and edited collection of extended survey papers addressing key topics in the mathematical foundations and applications of wavelet theory. The first part of the book is devoted to the fundamentals of wavelet analysis. The , Wavelets: Mathematics and Applications to your collection on WonderClub |