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Les Ondelettes en 1989: Séminaire d'Analyse Harmonique, Université de Paris-Sud, Orsay

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This book surveys the recent theory of wavelet transforms and its applications in various fields both within mathematics (singular integrals, localization of singularities) and beyond it, in computer vision, the physics of fractals, time-frequency analysis.

Author(s): Pierre Gilles Lemarié (auth.), Pierre Gilles Lemarié (eds.)
Series: Lecture Notes in Mathematics 1438
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1990

Language: French-English
Pages: 220
City: Berlin; New York
Tags: Topological Groups, Lie Groups;Math. Applications in Chemistry;Numerical and Computational Methods in Engineering

Introduction a la theorie des ondelettes....Pages 1-13
Ondelettes, filtres miroirs en quadrature et traitement numerique de l'image....Pages 14-25
Analyse multi-echelles et ondelettes a support compact....Pages 26-38
Une nouvelle demonstration du theoreme T(b), d'apres Coifman et Semmes....Pages 39-50
Analyse multiechelle, vision stereo et ondelettes....Pages 51-80
Quelques methodes temps-frequence et temps-echelle en traitement du signal....Pages 81-88
Schema iteratif d'interpolation....Pages 93-101
Regularite locale de la fonction “non-differentiable” de Riemann....Pages 102-124
Transformation en ondelettes et renormalisation....Pages 125-191
Wavelets in 1989 : An extended summary....Pages 192-212