Generalized quasi-regular representation and its applications for shearlet transforms

The construction of continuous shearlet transform has been extended to higher dimensions. It was generalized a group that is topologically isomorphic semidirect product locally compact groups. In this paper, by unified theoretical linear algebra approach the representation theory, class transforms obtained from quasi-regular presented. order develop such representation, we utilize homogeneous space with relatively invariant Radon measure as tool computational and abstract harmonic analysis.