Bagchi, S and Ganguly, P and Sarkar, J and Thangavelu, S (2022) An analogue of Ingham’s theorem on the Heisenberg group. In: Mathematische Annalen .
|
PDF
mat_ana_2022.pdf - Published Version Download (444kB) | Preview |
Official URL: https://doi.org/10.1007/s00208-022-02479-5
Abstract
We prove an exact analogue of Ingham’s uncertainty principle for the group Fourier transform on the Heisenberg group. This is accomplished by explicitly constructing compactly supported functions on the Heisenberg group whose operator valued Fourier transforms have suitable Ingham type decay and proving an analogue of Chernoff’s theorem for the family of special Hermite operators.
| Item Type: | Journal Article |
|---|---|
| Publication: | Mathematische Annalen |
| Publisher: | Springer Science and Business Media Deutschland GmbH |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 13 Oct 2022 05:31 |
| Last Modified: | 13 Oct 2022 05:31 |
| URI: | https://eprints.iisc.ac.in/id/eprint/77305 |
Actions (login required)
 |
View Item |
