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Quantitative uncertainty principles associated with the directional short-time Fourier transform
Integral Transforms and Special Functions ( IF 0.7 ) Pub Date : 2020-11-12 , DOI: 10.1080/10652469.2020.1843166
Hatem Mejjaoli 1 , Slim Omri 2
Affiliation  

We introduce the directional short-time Fourier transform for which we prove a new inversion formula. We also prove for this transform several uncertainty principles as Heisenberg inequalities, Faris–Price uncertainty principles and local uncertainty principles.



中文翻译:

与定向短时傅立叶变换相关的定量不确定性原理

我们引入了定向短时傅立叶变换,我们证明了一个新的反演公式。我们还证明了这种变换的几个不确定性原则,如海森堡不等式、法里斯-价格不确定性原则和局部不确定性原则。

更新日期:2020-11-12
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