we offer a L^i module construction to L^1(G/H)

Wavelet analysis has found a wide range of applications in Physics, Engi-

neering and applied mathematics in the last few years. The continuous wavelet trans-

form on Affine and Heisenberg groups has been ...

In this article a review on the definition of the X- ray transform and some of

its applications in Nano crystallography is presented. We shall show that the X- ray

transform is a special case of the Radon transform on homogeneous...

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 by using general quotient...

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....

. Let ϖ be a representation of the homogeneous space G/H, where G be a locally compact group and H be a compact subgroup of G. For an admissible wavelet ζ for ϖ and ψ ∈ Lp (G/H), 1 ≤ p < ∞, we determine a class of bounded compact operators which...

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 wavelets for...

For homogeneous space G/H equipped with strongly quasi invariant measure ν, we introduce the two-wavelet constant for square integrable representations and the orthogonal subspaces of L2(G/H), which are related to continuous wavelet transform (C...

In the present paper, we introduce the two-wavelet localization

operator for the square integrable representation of a homoge-

neous space with respect to a relatively invariant measure. We

investigate ...