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Now in paperback, this remains one of the classic expositions of the theory of wavelets from two of the subject's leading experts. In this volume the theory of paradifferential operators and the Cauchy kernel on Lipschitz curves are discussed with the emphasis firmly on their connection with wavelet bases. Sparse matrix representations of these operators can be given in terms of wavelet bases which have important applications in image processing and numerical analysis. This method is now widely studied and can be used to tackle a wide variety of problems arising in science and engineering. Put simply, this is an essential purchase for anyone researching the theory of wavelets.

517.98 --- Calderon-Zygmund operator --- Wavelets (Mathematics) --- 517.518.8 --- Wavelet analysis --- Harmonic analysis --- Calderón-Zygmund singular integral operator --- Mikhlin-Calderon-Zygmund operator --- Operator, Calderón-Zygmund --- Singular integral operator, Calderón-Zygmund --- Zygmund-Calderón operator --- Linear operators --- Functional analysis and operator theory --- Approximation of functions by polynomials and their generalizations --- Caldéron-Zygmund operator. --- Wavelets (Mathematics). --- 517.518.8 Approximation of functions by polynomials and their generalizations --- 517.98 Functional analysis and operator theory --- Caldéron-Zygmund operator --- Caldéron-Zygmund operator