R. A. Kamyabi Gol - Department of Mathematics, Center of Excellency in Analysis on Algebraic Structures(CEAAS), Ferdowsi University Of Mashhad, Mashhad, Islamic Republic of Iran.
F. Esmaeelzadeh - Department of Mathematics, Bojnourd Branch, Islamic Azad University, Bojnourd, Islamic Republic of Iran.
R. Raisi Tousi - Department 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.

Homogenous space Irreducible representation