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 construction of wavelet bases and the fast computation of the wavelet transform in both continuous and discrete settings is covered. The theory of frames, dilation equations, and local Fourier bases are also presented. The second part of the book discusses applications in ...
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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 construction of wavelet bases and the fast computation of the wavelet transform in both continuous and discrete settings is covered. The theory of frames, dilation equations, and local Fourier bases are also presented. The second part of the book discusses applications in signal analysis, while the third part covers operator analysis and partial differential equations. Each chapter in these sections provides an up-to-date introduction to such topics as sampling theory, probability and statistics, compression, numerical analysis, turbulence, operator theory, and harmonic analysis. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. It will be an especially useful reference for harmonic analysts, partial differential equation researchers, signal processing engineers, numerical analysts, fluids researchers, and applied mathematicians.
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As New. 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. ~Click on BOOKSTORES to browse our extensive listings of similar titles in Mathematics~
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