ABSTRACT The aim of this paper is to prove some new uncertainty principles for the windowed Hankel transform. They include uncertainty principle for orthonormal sequence, local uncertainty principle, logarithmic uncertainty principle and Heisenberg-type uncertainty principle. As a side result, we obtain the Shapiro's dispersion theorem for the windowed Hankel transform.

中文翻译：

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加窗汉克尔变换的不确定性原理

摘要 本文的目的是证明加窗汉克尔变换的一些新的不确定性原理。它们包括正交序列的不确定性原理、局部不确定性原理、对数不确定性原理和海森堡型不确定性原理。作为附带结果，我们获得了加窗汉克尔变换的夏皮罗色散定理。