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Analogues of theorems of Chernoff and Ingham on the Heisenberg group

Ganguly, P and Thangavelu, S (2022) Analogues of theorems of Chernoff and Ingham on the Heisenberg group. In: Journal d'Analyse Mathematique .

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Official URL: https://doi.org/10.1007/s11854-022-0252-1

Abstract

We prove an analogue of Chernoff’s theorem for the Laplacian Δℍ on the Heisenberg group ℍn. As an application, we prove Ingham type theorems for the group Fourier transform on ℍn and also for the spectral projections associated to the sublaplacian. © 2022, The Hebrew University of Jerusalem.

Item Type: Journal Article
Publication: Journal d'Analyse Mathematique
Publisher: Hebrew University Magnes Press
Additional Information: The copyright for this article belongs to the Authors.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 30 Jan 2023 09:58
Last Modified: 30 Jan 2023 09:58
URI: https://eprints.iisc.ac.in/id/eprint/79574

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