Two-wavelet constants for square integrable representations of G/H
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Abstract:
In this paper we introduce two-wavelet constants for square integrable representations of homogeneous spaces. We establish the orthogonality relations for square integrable representations of homogeneous spaces which give rise to the existence of a unique self adjoint positive operator on the set of admissible wavelets. Finally, we show that this operator is a constant multiple of identity operator when G is a semidirect product group of a unimodular subgroup K and a closed subgroup H.
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Journal title
volume 1 issue 1
pages 63- 73
publication date 2014-08-01
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