Toeplitz Operators Associated with the Deformed Windowed Fourier Transform

被引：1
|
作者：
Mejjaoli, Hatem [1 ]
Shah, Firdous A. [2 ]
Sraieb, Nadia [3 ]
机构：
[1] Taibah Univ, Dept Math, Coll Sci, POB 30002, Al Madinah Al Munawarah, Saudi Arabia
[2] Univ Kashmir, Dept Math, South Campus, Anantnag 192101, Jammu & Kashmir, India
[3] Gabes Univ, Fac Sci Gabes, Dept Math, Omar Ibn Khattab St, Gabes 6029, Tunisia
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2022年 / 16卷 / 03期
关键词：
Toeplitz operators; Generalized translation operator; Deformed Hankel transform; Deformed windowed Fourier transform; Spectrogram;
D O I：
10.1007/s11785-022-01210-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article deals with the study of Toeplitz operators associated with the deformed windowed Fourier transform. The primary aim is to study the Toeplitz operators, particular their trace class properties and demonstrate that they belong to the Schatten-von Neumann class of operators. Nevertheless, significant attention is also devoted to a spectral analysis by examining the eigenvalues and eigenfunctions of the time-frequency Toeplitz operator. Towards the culmination, the spectrograms associated with the deformed windowed Fourier transform are also studied in detail.
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页数：36
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