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

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This is a Quantitative Study study.

Aparajita Dasgupta; Prerna Gulia; Sanjoy Pusti; Sundaram Thangavelu

doi:10.48550/arxiv.2505.15186

May 21, 2025Open Access

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

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Key Points

The study proves an analogue of Beurling's theorem related to H-type groups, enhancing existing knowledge.
Key findings involve the establishment of Gutzmer's formula for H-type groups and its applications.
Using the modified Radon transform, other versions of the theorem are also derived for various dimensions.
The implications extend the understanding of harmonic analysis within the framework of H-type groups.

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Implication

This research establishes Gutzmer's formula and various forms of Beurling's theorem on H-type groups.

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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Cite This Study

Dasgupta et al. (2025) studied this question.

synapsesocial.com/papers/68f5c338e2d8b128426459e4 https://doi.org/10.48550/arxiv.2505.15186

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

Key Points

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Implication

Abstract

Discussion

Cite This Study

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

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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