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 ${SL(2,\mathbb{R})}$.
Citation
Arash Ghaani Farashahi. Rajabali Kamyabi-Gol. "Continuous Gabor transform for a class of non-Abelian groups." Bull. Belg. Math. Soc. Simon Stevin 19 (4) 683 - 701, november 2012. https://doi.org/10.36045/bbms/1353695909
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