Dunkl-Stockwell transform and its applications to the time-frequency analysis

被引：14
作者：
Mejjaoli, Hatem [1 ]
机构：
[1] Taibah Univ, Dept Math, Coll Sci, POB 30002, Al Madinah Al Munawarah, Saudi Arabia
来源：
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2021年 / 12卷 / 02期
关键词：
Dunkl transform; Dunkl– Stockwell transform; Uncertainty principles; Localization operators; Calderó n’ s formula; UNCERTAINTY PRINCIPLES; INVERSION FORMULAS; GABOR TRANSFORM; PITTS INEQUALITIES; MAXIMAL-FUNCTION; OPERATOR; LOCALIZATION; NORM;
D O I：
10.1007/s11868-021-00378-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we extend the one-dimensional Stockwell transform discussed in Stockwell et al. (IEEE Trans Signal Process 44:998-1001, 1996) to the Dunkl theory seeting. We obtain the expected properties of the extended Stockwell transform such as Parseval's formula, inversion formula, Calderon's formula. Next, some applications are given as the uncertainty principles and the theory of localization operators associated with this new transform.
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页数：59
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