Ganguly, P and Thangavelu, S (2021) An uncertainty principle for spectral projections on rank one symmetric spaces of noncompact type. In: Annali di Matematica Pura ed Applicata .
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Abstract
Let G be a noncompact semisimple Lie group with finite centre. Let X= G/ K be the associated Riemannian symmetric space and assume that X is of rank one. The generalized spectral projections associated to the Laplace-Beltrami operator are given by Pλf= f� Φ λ, where Φ λ are the elementary spherical functions on X. In this paper, we prove an Ingham type uncertainty principle for Pλf. Moreover, similar results are obtained in the case of generalized spectral projections associated to Dunkl Laplacian. © 2021, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of Springer Nature.
| Item Type: | Journal Article |
|---|---|
| Publication: | Annali di Matematica Pura ed Applicata |
| Publisher: | Springer Science and Business Media Deutschland GmbH |
| Additional Information: | The copyright for this article belongs to Authors |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 27 Jul 2021 06:22 |
| Last Modified: | 27 Jul 2021 06:22 |
| URI: | http://eprints.iisc.ac.in/id/eprint/68953 |
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