Continuous Gabor transform for a class of non-Abelian groups

By A. G. Farashahi, R. Kamyabi-Gol. 2012

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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 ${SL(2,\mathbb{R})}$.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9aaab018e43b53928126461c2644beba521df35f