Wavelets on Hypergroups

  • K. Trimeche
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

We consider hypergroupsKsatisfying certain conditions. Important examples of such hypergroups are the double coset hypergroup, the Chébli-Trimèche hypergroup and the hyper-group associated with spherical mean operator. We define onK wavelets and a continuous wavelet transform, we prove Plancherel and inversion formulas for this transform, and using coherent states we characterize the image space of this transform.

Keywords

Coherent State Haar Measure Continuous Wavelet Inversion Formula Convolution Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • K. Trimeche
    • 1
  1. 1.Department of MathematicsFaculty of Sciences of TunisTunisTunisia

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