A generalization of admissible groups

A subgroup D of GL(n,R) is said to be admissible if quasi-regular representation on the semidirect product D ×τ R has an admissible vector. In this paper, we would like, define admissiblity for G in this case G = H ×τ K such that H and K are locally compact groups and also K is abelian, with arbitrary representation and obtained some results.