Continuous Gabor transform for a class of non-Abelian groups
Functional Analysis
2013-04-09 v1
Abstract
In this article we define the continuous Gabor transform for second countable, non-abelian, unimodular and type I groups and also we investigate a Plancherel formula and an inversion formula for our definition. As an example we show that how these formulas work for the Heisenberg group and also the matrix group .
Cite
@article{arxiv.1201.0934,
title = {Continuous Gabor transform for a class of non-Abelian groups},
author = {Arash Ghaani Farashahi and Rajabali Kamyabi-Gol},
journal= {arXiv preprint arXiv:1201.0934},
year = {2013}
}