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Analysis of Divergence pp 251–295Cite as

Asymptotic expansions and linear wavelet packets on certain hypergroups

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Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

Abstract

We state harmonic analysis results on the Chébli-Trimèche hypergroups (R+, *A), as asymptotic expansions, integral representations of Mehler and Schläfli type, and characterizations of maximal ideal spaces of some algebras. Next we study a continuous linear wavelet transform and a linear wavelet packet transform on the Chébli-Trimèche hypergroups (R+, *A), and we prove for these transforms reconstruction formulas.

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Authors
  1. Khalifa Trimèche
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Editors and Affiliations

  1. Department of Mathematics and Statistics, University of Maine, Orono, ME, 04469, USA

    William O. Bray

  2. Department of Mathematics and Statistics, University of Missouri, Rolla Bldg 202, Rolla, MO, 65409, USA

    Časlav V. Stanojević

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© 1999 Birkhäuser Boston

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Trimèche, K. (1999). Asymptotic expansions and linear wavelet packets on certain hypergroups. In: Bray, W.O., Stanojević, Č.V. (eds) Analysis of Divergence. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2236-1_17

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  • DOI: https://doi.org/10.1007/978-1-4612-2236-1_17

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7467-4

  • Online ISBN: 978-1-4612-2236-1

  • eBook Packages: Springer Book Archive

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