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

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

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.

Bibliographic Details
Main Authors: Ali akbar Arefijammal, Fahimeh Arabyani Neyshaburi
Format: Article
Language:English
Published: University of Maragheh 2015-12-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Partial Fourier transform
Locally compact groups
Semi-direct product groups
Artial dual groups
Online Access:http://scma.maragheh.ac.ir/pdf_15471_6cc6c314395a008f6ea2c3f1659ce258.html

Internet

http://scma.maragheh.ac.ir/pdf_15471_6cc6c314395a008f6ea2c3f1659ce258.html

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