Ganguly, P and Manna, R and Thangavelu, S (2022) On a theorem of Chernoff on rank one Riemannian symmetric spaces. In: Journal of Functional Analysis, 282 (5).
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Official URL: https://doi.org/10.1016/j.jfa.2021.109351
Abstract
In 1975, P.R. Chernoff used iterates of the Laplacian on Rn to prove an L2 version of the Denjoy-Carleman theorem which provides a sufficient condition for a smooth function on Rn to be quasi-analytic. In this paper we prove an exact analogue of Chernoff's theorem for all rank one Riemannian symmetric spaces of noncompact type using iterates of the associated Laplace-Beltrami operators. Moreover, we also prove an analogue of Chernoff's theorem for the sphere which is a rank one compact symmetric space. © 2021 Elsevier Inc.
| Item Type: | Journal Article |
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| Publication: | Journal of Functional Analysis |
| Publisher: | Academic Press Inc. |
| Additional Information: | The copyright for this article belongs to the Author. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 05 Jan 2022 11:02 |
| Last Modified: | 05 Jan 2022 11:02 |
| URI: | http://eprints.iisc.ac.in/id/eprint/70883 |
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