Standard shearlet group in arbitrary space dimensions and projections in its L1-algebra

Abstract

This paper is devoted to definition standard shearlet group $$\mathbb{S} = {\mathbb{R}^ + } \times {\mathbb{R}^{n - 1}} \times {\mathbb{R}^n}$$, in arbitrary space dimensions and concerned with the projections which are, self adjoint idempotents in the group algebra $${L^1}(\mathbb{S})$$. Actually we determine minimal projections, associated with an open free orbit, in details.