The localization operator and wavelet multipliers involving the Watson transform

被引:0
作者
H. M. Srivastava
Pragya Shukla
S. K. Upadhyay
机构
[1] University of Victoria,Department of Mathematics and Statistics
[2] China Medical University Hospital,Department of Medical Research
[3] China Medical University,Department of Mathematics and Informatics
[4] Azerbaijan University,Section of Mathematics
[5] International Telematic University Uninettuno,Department of Mathematical Sciences
[6] Indian Institute of Technology (BHU),undefined
来源
Journal of Pseudo-Differential Operators and Applications | 2022年 / 13卷
关键词
Watson transform; Watson convolution; Pseudo-Differential operators; Localization operators; Wavelet multipliers; Riesz-Thorin interpolation theorem; Primary 46F12; 46E35; Secondary 33C10; 35S05;
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摘要
In this article, we investigate the characterizations of some localization operators which are associated with the integral representation of a locally compact group. Furthermore, with the help of the Watson transform, we find their relationship with wavelet multipliers. We also discuss the trace class and the Schatten-von Neumann property of the localization operators which we have investigated here.
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