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Square-integrable representations of non-unimodular groups

Published online by Cambridge University Press:  17 April 2009

A.L. Carey
A.L. Carey
Affiliation:
Department of Mathematical Physics, University of Adelaide, Adelaide, South Australia.
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Abstract

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In the last three years a number of people have investigated the orthogonality relations for square integrable representations of non-unimodular groups, extending the known results for the unimodular case. The results are stated in the language of left (or generalized) Hilbert algebras. This paper is devoted to proving the orthogonality relations without recourse to left Hilbert algebra techniques. Our main technical tool is to realise the square integrable representation in question in a reproducing kernel Hilbert space.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 15 , Issue 1 , August 1976 , pp. 1 - 12
Copyright
Copyright © Australian Mathematical Society 1976

References

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