A tensor product approach to the abstract partial fourier transforms over semi-direct product groups

Journal: Sahand Communications in Mathematical Analysis (Vol.2, No. 2)

Publication Date: 2015-12-15

Authors : Ali akbar Arefijammal; Fahimeh Arabyani Neyshaburi;

Page : 73-81

Keywords : Partial Fourier transform; Locally compact groups; Semi-direct product groups; Artial dual groups;

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Abstract

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.

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A tensor product approach to the abstract partial fourier transforms over semi-direct product groups

Abstract

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