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Harmonic analysis. Fourier analysis --- Harmonic analysis --- Integral operators --- Representations of groups --- Analyse harmonique --- Opérateurs intégraux --- Représentations de groupes --- 517.9 --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Operators, Integral --- Integrals --- Operator theory --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Harmonic analysis. --- Integral operators. --- Representations of groups. --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Opérateurs intégraux --- Représentations de groupes --- Homogeneous spaces. --- Espaces homogènes. --- Analyse harmonique abstraite --- Groupes topologiques --- Groupes compacts

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Harmonic analysis. --- Wavelets (Mathematics). --- Opérateurs linéaires. --- Linear operators. --- Ondelettes. --- Wavelets (Mathematics) --- Calderon-Zygmund, Opérateurs de --- Calderon-Zygmund operator --- Calderon-Zygmund, Opérateurs de. --- Calderón-Zygmund operator. --- Opérateurs pseudo-différentiels --- Pseudodifferential operators --- Fourier, Analyse de --- Ondelettes --- Calderon-Zygmund, Opérateurs de --- Pseudodifferential operators. --- Opérateurs linéaires --- Opérateurs pseudo-différentiels --- Espaces de hardy --- Analyse de fourier

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Pseudodifferential operators

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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

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