The Stockwell transform on locally compact abelian groups
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Published:2023-06-06
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Volume:
Page:
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ISSN:0219-0257
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Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
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language:en
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Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.
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.
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