Abstract Harmonic Analysis of Continuous Wavelet Transforms

This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Math...

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Detalhes bibliográficos
Autor principal: Führ, Hartmut, 19..-
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg 2005.
Cham : Springer Nature
Colecção:Lecture Notes in Mathematics 1863
Assuntos:
Acesso em linha:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
Accès INSA CVL
Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Abstract Harmonic Analysis of Continuous Wavelet Transforms, Texte imprimé, 9783540806608
• Abstract Harmonic Analysis of Continuous Wavelet Transforms, Texte imprimé, 9783540242598
Sumário:
  • Introduction
  • Wavelet Transforms and Group Representations
  • The Plancherel Transform for Locally Compact Groups
  • Plancherel Inversion and Wavelet Transforms
  • Admissible Vectors for Group Extension
  • Sampling Theorems for the Heisenberg Group
  • References
  • Index.