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arXiv · 1201.0934

Continuous Gabor transform for a class of non-Abelian groups

Arash Ghaani Farashahi·Rajabali Kamyabi-Gol
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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 ${SL(2,\mathbb{R})}$.

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Arash Ghaani Farashahi, Rajabali Kamyabi-Gol. 2012-01-04. Continuous Gabor transform for a class of non-Abelian groups. https://arxiv.org/abs/1201.0934

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