Some Versions of Beurling's Theorem on H-type Groups
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913850189676544 |
|---|---|
| author | Dasgupta, Aparajita Gulia, Prerna Pusti, Sanjoy Thangavelu, Sundaram |
| author_facet | Dasgupta, Aparajita Gulia, Prerna Pusti, Sanjoy Thangavelu, Sundaram |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_15186 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some Versions of Beurling's Theorem on H-type Groups Dasgupta, Aparajita Gulia, Prerna Pusti, Sanjoy Thangavelu, Sundaram Functional Analysis Primary 43A85, 42C05, Secondary 33C45, 35P10 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. |
| title | Some Versions of Beurling's Theorem on H-type Groups |
| topic | Functional Analysis Primary 43A85, 42C05, Secondary 33C45, 35P10 |
| url | https://arxiv.org/abs/2505.15186 |