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Abstract

The left regular representation L: G→U(L 2 (G)) of a locally compact and Hausdorff group G given by (L(g)u)(h) = u(g -1 h), g, hG, for all u in L 2 (G), has been playing a subsidiary role since its appearance in Example 5.7. In this chapter we show that it is an object of interest in its own right. We are particularly interested in the adjoints of wavelet transforms for left regular representations of unimodular groups.

Keywords

Bounded Linear Operator Convolution Operator Modular Group Regular Representation Left Translation 
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 Basel AG 2002

Authors and Affiliations

  • M. W. Wong
    • 1
  1. 1.Department of Mathematics and StatisticsYork UniversityTorontoCanada

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