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<p>We prove an analogue of Beurling’s theorem on the H-type groups of certain dimensions after establishing the Gutzmer’s formula for the H-type groups. We also obtain some other versions of the theorem using the modified Radon transform.</p>

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Some Versions of Beurling’s Theorem on H-type Groups

  • 期刊论文

  • 发表日期：

    2025年12月2日

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  • Aparajita Dasgupta,
  • Prerna Gulia,
  • Sanjoy Pusti,
  • Sundaram Thangavelu

摘要

We prove an analogue of Beurling’s theorem on the H-type groups of certain dimensions after establishing the Gutzmer’s formula for the H-type groups. We also obtain some other versions of the theorem using the modified Radon transform.