The Stockwell transform on Gelfand pairs and localization operators
Claude G. Dosseh, Mawoussi Todjro, Yaogan Mensah
TL;DR
This paper extends the Stockwell transform to Gelfand pairs, exploring its properties and the associated localization operators, thereby broadening the transform's theoretical framework and potential applications.
Contribution
It introduces a novel extension of the Stockwell transform to Gelfand pairs and analyzes the properties and localization operators within this new setting.
Findings
Properties of the extended Stockwell transform are characterized.
Localization operators related to the transform are studied.
The framework broadens the applicability of the Stockwell transform.
Abstract
This paper addresses the extension of the Stockwell transform to Gelfand pairs. Some majors properties of this transform are examined. The localization operators related to the Stockwell transform in this framework are studied.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Holomorphic and Operator Theory · Mathematical functions and polynomials