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<p>This paper addresses the extension of the Stockwell transform from locally compact abelian groups to Gelfand pairs. A suitable definition of the Stockwell transform is provided in this framework. Some major properties of this transform are examined. Also, the localization operators related to the Stockwell transform are defined and studied. Mainly, their boundedness and their belonging to Schatten-von Neumann classes are investigated.</p>

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The Stockwell transform on Gelfand pairs and localization operators

  • 期刊论文

  • 发表日期：

    2026年7月20日

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  • Claude G. Dosseh,
  • Mawoussi Todhro,
  • Yaogan Mensah

摘要

This paper addresses the extension of the Stockwell transform from locally compact abelian groups to Gelfand pairs. A suitable definition of the Stockwell transform is provided in this framework. Some major properties of this transform are examined. Also, the localization operators related to the Stockwell transform are defined and studied. Mainly, their boundedness and their belonging to Schatten-von Neumann classes are investigated.