Thangavelu, S (2023) Segal–Bargmann transforms and holomorphic Sobolev spaces of fractional order. In: Revista de la Union Matematica Argentina, 66 (1). pp. 297-310.
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Official URL: https://doi.org/10.33044/revuma.4363
Abstract
In this note we investigate the image of Sobolev spaces of fractional order on a compact Lie group K under the Segal–Bargmann transform. We show that the image can be characterised in terms of certain weighted Bergman spaces of holomorphic functions on the complexification extending a theorem of Hall and Lewkeeratiyutkul. We also treat the heat kernel transform associated to the Hermite operator. © (2023). All Rights Reserved.
| Item Type: | Journal Article |
|---|---|
| Publication: | Revista de la Union Matematica Argentina |
| Publisher: | Union Matematica Argentina |
| Additional Information: | The copyright for this article belongs to the Author. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 20 Dec 2023 04:15 |
| Last Modified: | 20 Dec 2023 04:15 |
| URI: | https://eprints.iisc.ac.in/id/eprint/83526 |
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