Determination of subrepresentations of the standard higher dimensional shearlet group

‎This paper is devoted to definition standard higher dimension shearlet group \mathbb{S} = \mathbb{R}^{+} \times \mathbb {R}^{n-۱} \times \mathbb {R}^{n} and determination of square integrable subrepresentations of this group‎. ‎Also we give a characterisation of admissible vectors associated to the Hilbert spaces corresponding to each su brepresentations‎.