Linear canonical Hankel domain based Stockwell transform and associated Heisenberg's uncertainty principle

被引：1

作者：

Bhat, M. Younus ^{[1
]}

Dar, Aamir H. ^{[1
]}

机构：

[1] Islamic Univ Sci & Technol, Dept Math Sci, Kashmir, India

来源：

JOURNAL OF ANALYSIS | 2023年 / 31卷 / 04期

关键词：

Uncertainty principle; Hankel Stockwell transform; Linear canonical transform; Inversion formula; NONLINEAR DIFFERENTIAL-EQUATIONS; OMEGA-PERIODIC SOLUTIONS; MILD SOLUTIONS; EXPONENTIAL STABILITY; EXISTENCE; CONTROLLABILITY; INCLUSIONS;

D O I：

10.1007/s41478-023-00624-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Linear canonical Hankel domain based Stockwell transform (LCHST) is the generalization of Hankel-Stockwell transform. In this paper, we propose the definition of LCHST and then obtain the classical results associated with the proposed transform. The crux of the paper lies in proving a sharp version of Heisenberg's uncertainty principle for LCHST.

引用

页码：2985 / 3002

页数：18

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