Two wavelet constants for square integrable representations of G/H

In this paper we introduce two wavelet constants for square integrable representations of homogeneous spaces. We establishthe orthogonality relations for square integrable representationsof homogeneous spaces which give rise to the existence of aunique self adjoint positive operator on the set of admissiblewavelets. Finally, we show that this operator is a constant multiple of identity operator when G is a semidirect product groupof a unimodular subgroup K and a closed subgroup H.