Wavelets: Mathematics and Applications (Studies in Advanced Mathematics)

No Dust Jacket as Published. (7), 575 pp, preface, contributors, Introduction by John J. Benedetto and Michael W. Frazier, I. CORE MATERIAL: 1. Construction of Orthonormal Wavelets by Robert s. Strichartz; 2. An Introduction to the Orthonormal Wavelet Transform on Discrete Sets by Michael W. Frazier and Arun Kumar; 3. Gabor Frames for L2 and Related Spaces by John Je. Benedetto and David F. Walnut; 4. Dilation Equations and the Smoothness of Compactly Supported Wavelets by Christopher Heil and David Colella; 5. Remarks on the Local Fourier Bases by Pascal Auscher. II. WAVELETS AND SIGNAL PROCESSING: 6. The Sampling Tehorem, Pi-transform, and Shannon Wavelets for R, Z, T, and Zn by Michael W. Frazier and Rodolfo Torres; 7. Frame Decompositions, Sampling, and Uncertaintly Principle Inequalities by John J. Benedetto; 8. Theory and Practice of Irregular Sampling by Hans G. Feichtinger and Karlheinz Grochenig; 9. Wavelets, Probability, and Statistics: Some Bridges by Christian Houdre; 10. Wavelets and Adapted Waveform Analysis by Ronald R. Coifman and M. Victor Wickerhauser; 11. Near Optimal Compression of Orthonormal Wavelet Expressions C.-c by Hsiao, B. Jawerth, B.J. Lucier and X. M. Yu. III. WAVELETS AND PARTIAL DIFFERENTIAL OPERATORS: 12. On Wavelet-Based Algorithms for Solving Differential Equations by G. Beylkin; 13. Wavelets and Nonlinear Analysis by Stephane Jaffard; 14. Scale Decomposition in Burgers' Equation by Frederic Heurtaux, Fabrice Planchon, and Mladen Victor; 15. The Cauchy Singular Integral Operator and Clifford Wavelets by Lars Andersson, Bjorn Jawerth, and Marius Mitrea; 16. The Use of Decomposition Theorems in the Study of Operators by Richard Rochberg; index. Pristine, no wear. Clean, tight and strong binding with no underlining, highlighting or marginalia. Decorative laminated boards. …