The Stockwell transform on locally compact abelian groups

Author:

Esmaeelzadeh Fatemeh1

Affiliation:

1. Department of Mathematics, Bojnourd Branch, Islamic Azad University, Bojnourd, Iran

Abstract

Let [Formula: see text] be a locally compact abelian (LCA) group and [Formula: see text] be a topological automorphism on [Formula: see text]. For [Formula: see text], the Stockwell transform on the locally compact group [Formula: see text] with respect to the automorphism [Formula: see text] is defined and denoted by [Formula: see text]. The inversion formula for the Stockwell transform [Formula: see text] is established and as a result it is concluded that [Formula: see text] is an isometry. Moreover, some properties of the Stockwell transform [Formula: see text] are examined. Finally, some examples are given to support our technical considerations.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Localization operators related to Stockwell transforms on locally compact abelian groups;Journal of Pseudo-Differential Operators and Applications;2023-10-16

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