Continuous Gabor transform for a class of non-Abelian groups

Details Continuous Gabor transform for a class of non-Abelian groups Continuous Gabor transform for a class of non-Abelian groups

2012-01-04

arxiv.org/abs/1201.0934v1

Mathematics

Functional Analysis

Scientific paper

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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