Vali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364120170801Determination of subrepresentations of the standard higher dimensional shearlet group11212336610.22072/wala.2017.23366ENMasoumehZareDepartment of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.Rajab AliKamyabi-GolDepartment of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.ZahraAmiriDepartment of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.Journal Article20160720This paper is devoted to definition standard higher dimension shearlet group $ \mathbb{S} = \mathbb{R}^{+} \times \mathbb {R}^{n-1} \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.https://wala.vru.ac.ir/article_23366_278253b8ba374cbd231b1cdf2dd51313.pdf