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...

‎In this paper, a new class of fuzzy sets called fuzzy strongly ${{g}^{*}}$-closed sets is introduced and its properties are investigated. Moreover, we study some more properties of this type of closed spaces.

Let k be an algebraically closed field of positive characteristic, G a reductive group over k, and V a finite dimensional G-module. Let P be a parabolic subgroup of G, and UP its unipotent radical. We prove that if S = SymV has a good filtration, then SUP is strongly F -regular.

We show, in particular, that, if a finite group $H$ is retract of any containing as verbally closed subgroup, then the centre direct factor $H$.

In this paper, direct proofs of some properties of new classes of fuzzy sets called fuzzy strongly g∗-closed sets and fuzzy g∗∗-closed sets are introduced. Examples are presented showing that some generalizations can not be obtained. MSC: 54A40 • 54A05