For a locally compact group G and a compact subgroup H of G,

the square integrable representations of group G and homogeneous space G/H

are described. Also, the connection between existence of admissible ...

For a locally compact group G and two closed subgroups H, K of G let N be the

normalizer group of K in G and K\\\\\\\\G/H be the double coset spaces of G by H

and K, respectively. The N-relatively invariant and N-invariant measures...

We discuss the factorization problem on topological group. We focus on the topological aspect of the problem and give a necessary condition for a topological group G to be the semi direct product of two closed subgroups.

In this note, let G be a locally compact group and H be a compact

subgroup of G. We investigate the square integrable representations of

homogeneous spaces G/H and admissible wavelets for these representati ...

A generalization of the quotient integral formula is presented and some of its

properties are investigated. Also the relations between two function spaces related to

the special homogeneous spaces are derived ...

We are going to study some conditions on which the Radon transform
and its dual are invertible. Two function spaces are introduced that the Radon
transform on which is bijective linear operator. In this regards, a ...

Let G be a locally compact group and H be a compact subgroup of G also let mu be a g-invariant measure on the homogeneous space G/H. In this article we extend the linear operator Th as a bounded surjective linear oprator....

We investigate a homogeneous space which is isomorphic to a quotient space G/H, where H is a compact subgroup of a locally compact Hausdorff topological group G.