We regard the shearlet group as a semidirect product group and show that its standard representation is,typically, a quasiregular representation. As a result we can characterize irreducible as well as square-integrable subrepresentations...

In this talk we characterize the existence of relatively

invariant measure on G/H, where G is a locally compact group and

H is a closed subgroup of G. Especially we consider this problem

where G is a semidirect product...

A group G is said to be capable if it is isomorphic to the inner automorphism group Inn(G) of some group E. This article is devoted to some results on the capability of semidirect product....

In this paper we extend the shearlet theory from Euclidean space to locally compact groups. We define the abstract shearlet group as a 3-fold semidirect product group and then we can construct the abstract shearlet transform by virtue...

In 1972 K.I.Tahara [7,2 Theorem 2.2.5] , using cohomological method, showed

that if a finite group $G=T\\\\rhd\\\\!\\\\!\\\\! <N$ is the semidirect product of a normal

subgroup $N$ and a subgroup $T$ , then $M(T)$ is a direct factor...

On the Square Integrability of Quasi Regular Representation on Semidirect Product Groups...

We consider the shearlet group as a Lie group and compute its Lie algebra.

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....

Most of the interesting groups encountered in the physics literature are semidirect product

groups. These groups are of the general form G = H ×τ K, where H and K are

locally compact groups. In this paper, we consider the quasi regular...

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 ...