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Wavelet Transforms Associated to the n-Dimensional Euclidean Group with Dilations: Signal in More Than One Dimension

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Wavelets

Part of the book series: Inverse Problems and Theoretical Imaging ((IPTI))

Abstract

When one wants to extend to more than one dimension, the whole wavelet machinery developped for the one dimensional ax+b group, while keeping the group language, it is natural to consider the n-dimensional Euclidean group with dilations, tobe denoted by IG(n). It is a non-unimodular locally compact group and its most natural unitary representation of in L(ℝn, dn x), is irreducible and square integrable.

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References

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Author information

Authors and Affiliations

  1. Institut de Physique Théorique, Université Catholique de Louvain, B-1348, Louvain-la-Neuve, Belgium

    R. Murenzi (Boursier du Conseil du Tiers-Monde)

  2. UCL, Louvain-la-Neuve, Belgium

    R. Murenzi (Boursier du Conseil du Tiers-Monde)

Authors
  1. R. Murenzi
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Editor information

Editors and Affiliations

  1. Centre National de la Recherche Scientifique, Luminy - Case 907, F-13288, Marseille Cedex 9, France

    Jean-Michel Combes , Alexander Grossmann  & Philippe Tchamitchian ,  & 

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© 1989 Springer-Verlag Berlin Heidelberg

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Murenzi, R. (1989). Wavelet Transforms Associated to the n-Dimensional Euclidean Group with Dilations: Signal in More Than One Dimension. In: Combes, JM., Grossmann, A., Tchamitchian, P. (eds) Wavelets. Inverse Problems and Theoretical Imaging. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97177-8_22

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  • DOI: https://doi.org/10.1007/978-3-642-97177-8_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-97179-2

  • Online ISBN: 978-3-642-97177-8

  • eBook Packages: Springer Book Archive

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