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

Aparajita Dasgupta; Prerna Gulia; Sanjoy Pusti; Sundaram Thangavelu

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arXiv · 2505.15186

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

Aparajita Dasgupta·Prerna Gulia·Sanjoy Pusti·Sundaram Thangavelu

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Abstract

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.

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Aparajita Dasgupta, Prerna Gulia, Sanjoy Pusti, Sundaram Thangavelu. 2025-05-21. Some Versions of Beurling's Theorem on H-type Groups. https://arxiv.org/abs/2505.15186

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