1Department of Mathematics, Center of Excellency in Analysis on Algebraic Structures(CEAAS), Ferdowsi University Of Mashhad, Mashhad, Islamic Republic of Iran.
2Department of Mathematics, Bojnourd Branch, Islamic Azad University, Bojnourd, Islamic Republic of Iran.
3Department of Mathematics, Ferdowsi University Of Mashhad, Mashhad, Islamic Republic of Iran.
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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