In this note we provide a negative answer to a question raised by Kreisel concerning a condition on the short-time Fourier transform that would imply the HRT conjecture. In particular we provide a new type of uncertainty principle for the short-time Fourier transform which forbids the arrangement of an arbitrary “bump with fat tail” profile.

中文翻译：

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关于HRT猜想的注记和短时傅立叶变换的新不确定性原理

在此注释中，我们对Kreisel提出的有关短时傅立叶变换条件的暗示HRT猜想的问题提供否定答案。特别是，我们为短时傅立叶变换提供了一种新型的不确定性原理，该原理禁止布置任意的“带有胖尾的凸块”轮廓。