<i>Wavelets: Mathematics and Applications</i>

Abstract

Core Material Construction of Orthonormal Wavelets, R.S. Strichartz An Introduction to the Orthonormal Wavelet Transform on Discrete Sets, M. Frazier and A. Kumar Gabor Frames for L2 and Related Spaces, J.J. Benedetto and D.F. Walnut Dilation Equations and the Smoothness of Compactly Supported Wavelets, C. Heil and D. Colella Remarks on the Local Fourier Bases, P. Auscher Wavelets and Signal Processing The Sampling Theorem, Phi-Transform, and Shannon Wavelets for R, Z, T, and ZN, M. Frazier and R. Torres Frame Decompositions, Sampling, and Uncertainty Principle Inequalities, J.J. Benedetto Theory and Practice of Irregular Sampling, H.G. Feichtinger and K. Grochenig Wavelets, Probability, and Statistics: Some Bridges, C. Houdre Wavelets and Adapted Waveform Analysis, R.R. Coifman and V. Wickerhauser Near Optimal Compression of Orthonormal Wavelet Expansions, B. Jawerth, C.-C. Hsiao, B. Lucier, and X. Yu Wavelets and Partial Differential Operators On Wavelet-Based Algorithms for Solving Differential Equations, G. Beylkin Wavelets and Nonlinear Analysis, S. Jaffard Scale Decomposition in Burgers' Equation, F. Heurtaux, F. Planchon, and V. Wickerhauser The Cauchy Singular Integral Operator and Clifford Wavelets, L. Andersson, B. Jawerth, and M. Mitrea The Use of Decomposition Theorems in the Study of Operators, R. Rochberg