TY - JOUR ID - 15471 TI - A tensor product approach to the abstract partial fourier transforms over semi-direct product groups JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Arefijammal, Ali akbar AU - Arabyani Neyshaburi, Fahimeh AD - Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran. Y1 - 2015 PY - 2015 VL - 02 IS - 2 SP - 73 EP - 81 KW - Partial Fourier transform KW - Locally compact groups KW - Semi-direct product groups KW - Artial dual groups DO - N2 - In this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the Fourier transform. As a consequence, we extend the fundamental theorems of Abelian Fourier transform to non-Abelian case. UR - https://scma.maragheh.ac.ir/article_15471.html L1 - https://scma.maragheh.ac.ir/article_15471_6cc6c314395a008f6ea2c3f1659ce258.pdf ER -