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k-Hankel Gabor Transform and Its Applications to the Theory of Localization Operators
Analysis Mathematica ( IF 0.6 ) Pub Date : 2021-07-08 , DOI: 10.1007/s10476-021-0091-9 H. Mejjaoli 1 , S. Ben Saïd 2
中文翻译:
k-Hankel Gabor 变换及其在定位算子理论中的应用
更新日期:2021-07-08
Analysis Mathematica ( IF 0.6 ) Pub Date : 2021-07-08 , DOI: 10.1007/s10476-021-0091-9 H. Mejjaoli 1 , S. Ben Saïd 2
Affiliation
We introduce and study the k-Hankel Gabor transform. We investigate the localization operators for this transform. In particular, we study their trace class properties and we prove that they belong to the Schatten-von Neumann class. We also study the eigenvalues and eigenfunctions of the time-frequency localization operator. Finally we give some results on the spectrograms for the k-Hankel Gabor transform.
中文翻译:
k-Hankel Gabor 变换及其在定位算子理论中的应用
我们介绍并研究了k- Hankel Gabor 变换。我们研究了这种变换的定位算子。特别是,我们研究了它们的迹类属性,并证明它们属于 Schatten-von Neumann 类。我们还研究了时频定位算子的特征值和特征函数。最后,我们给出了k -Hankel Gabor 变换的频谱图的一些结果。