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Groups with Atomic Regular Representation

  • Keith F. Taylor
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

A locally compact group G is called an [AR] group if the left regular representation of G is the direct sum of irreducible representations. A number of results related to the construction of [AR] groups and their properties are surveyed. The relevance of [AR] groups in the occurrence of nontrivial projections in L1(G) and in higher-dimensional continuous wavelet transforms is presented.

Keywords

Irreducible Representation Compact Group Banach Algebra Modular Function Regular Representation 
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

© Birkhäuser Boston 2008

Authors and Affiliations

  • Keith F. Taylor
    • 1
  1. 1.Department of Mathematics and StatisticsDalhousie UniversityHalifaxCanada

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