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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中图分类号
学科分类号
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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共 42 条
[1]  
Baccar C(2020)- J. Pseudo-Differ. Oper. Appl. 11 1367-1388
[2]  
Kabache A(1988) Time-scale localization operator for the continuous Hankel wavelet transform IEEE Trans. Inform. Theory 34 605-612
[3]  
Meherzi F(2000)Time-frequency localization operators: A geometric phase space approach C. R. Math. Acad. Sci. Soc. Roy. Canada 22 92-96
[4]  
Daubechies I(1996)Traces of localization operators Panamer. Math. J. 6 93-104
[5]  
Du J(2020)Localization operators associated to square integrable group representations Integral Transforms Spec. Funct. 31 620-644
[6]  
Wong MW(2007)-Hankel two-wavelet theory and localization operators Appl. Anal. 86 1223-1236
[7]  
He Z(2001)Pseudo-differential operators involving Watson transform J. Math. Anal. Appl. 257 141-153
[8]  
Wong MW(1960)-Boundedness of the pseudo-differential operator associated with Bessel operator Ann. of Math. (Ser. 2) 71 522-528
[9]  
Mejjaoli H(2021)Watson transform on groups J. Nonlinear Convex Anal. 22 2461-2478
[10]  
Triméche K(2020)Asymptotic series of a general symbol and pseudo-differential operators involving the Kontorovich-Lebedev transform Rev. Real Acad. Cienc. Exactas Fís. Natur. Ser. A Mat. (RACSAM) 114 1-18