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Harmonic analysis --- Wavelets (Mathematics)

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The aim of this book is to unite the seemingly disparate topics of Clifford algebras, analysis on manifolds and harmonic analysis. The authors show how algebra, geometry and differential equations all play a more fundamental role in Euclidean Fourier analysis than has been fully realized before. Their presentation of the Euclidean theory then links up naturally with the representation theory of semi-simple Lie groups. By keeping the treatment relatively simple, the book will be accessible to graduate students, yet the more advanced reader will also appreciate the wealth of results and insights made available here.

Clifford algebras. --- Dirac equation. --- Harmonic analysis.

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Mathematical statistics --- Time-series analysis --- Analysis of time series --- Autocorrelation (Statistics) --- Harmonic analysis --- Probabilities --- Time-series analysis.

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Differential equations, Partial --- Functional analysis --- Functions of complex variables --- Harmonic analysis --- Operator theory --- Equations aux dérivées partielles --- Analyse fonctionnelle --- Fonctions d'une variable complexe --- Analyse harmonique --- Théorie des opérateurs --- Cotlar, Mischa

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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