Vali-e-Asr university of Rafsanjan Wavelet and Linear Algebra 2383-1936 4 1 2017 08 01 Determination of subrepresentations of the standard higher dimensional shearlet group 11 21 23366 10.22072/wala.2017.23366 EN Masoumeh Zare Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran. Rajab Ali Kamyabi-Gol Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran. Zahra Amiri Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran. Journal Article 2016 07 20 ‎This 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_072e81e77edf6f7370bc290b32c9bb81.pdf