decade,

but in one point of view these groups are semidirect product of two locally com-

pact abelian groups. In this respect, we introduce the continuous wavelet transforms

associated to some square integrable representations...

Let G be a locally compact group and H be a compact subgroup of G. We show that the range of the continuous wavelet transform on a homogenous space G/H is a reproducing kernel Hilbert space.

if G=H*thou K is the group of semidirect product of two locally compact groups H and K, where K is also abelian, then the quasi regular representation (U,L2(K)) on G is defined.

. 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 ...

Let G/H be a homogenous space where G be a locally

compact group and H be a compact subgroup of G. In this note we

define a square integrable representation of homogenous space G/H

on Hilbert space H. The reconstruction formula...

Considerr the semidierect product group H*K, where H and K are two arbitrary locally compact groups and K is also abelian. We introduce the continuous wavelet transform associated to some square integrable representations H*K. Moreover, we try...

Let G be a locally compact group with a compact subgroup H. We define a square integrable

representation of a homogeneous space G/H on a Hilbert space H. The reconstruction

formula for G/H is established and ...