Weinstein Gabor Transform and Applications

• 作者: Ahmedou Ould Ahmed Salem Hatem Mejjaoli
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: Weinstein GABOR TRANSFORM PRACTICAL Real INVERSION FORMULA KERNEL Reproducing Theory
• 年，卷（期）: 2012,（3）
• 页码范围: 203-210
• 页数: 8页
• 分类号: O1

摘要

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.