Some Versions of Beurling's Theorem on H-type Groups
Functional Analysis
2025-05-22 v1
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.
Cite
@article{arxiv.2505.15186,
title = {Some Versions of Beurling's Theorem on H-type Groups},
author = {Aparajita Dasgupta and Prerna Gulia and Sanjoy Pusti and Sundaram Thangavelu},
journal= {arXiv preprint arXiv:2505.15186},
year = {2025}
}