Weinstein Gabor Transform and Applications

DOI: 10.4236/apm.2012.23029   PDF   HTML     4,095 Downloads   7,567 Views   Citations


In this paper we consider Weinstein operator. We define and study the continuous Gabor transform associated with this operator. We prove a Plancherel formula, an inversion formula and a weak uncertainty principle for it. As applications, we obtain analogous of Heisenberg’s inequality for the generalized continuous Gabor transform. At the end we give the practical real inversion formula for the generalized continuous Gabor transform.

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H. Mejjaoli and A. Salem, "Weinstein Gabor Transform and Applications," Advances in Pure Mathematics, Vol. 2 No. 3, 2012, pp. 203-210. doi: 10.4236/apm.2012.23029.

Conflicts of Interest

The authors declare no conflicts of interest.


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