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arXiv · 2106.02704

Analogues of theorems of Chernoff and Ingham on the Heisenberg group

Pritam Ganguly·Sundaram Thangavelu
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Abstract

We prove an analogue of Chernoff's theorem for the Laplacian $ \Delta_{\mathbb{H}} $ on the Heisenberg group $ \mathbb{H}^n.$ As an application, we prove Ingham type theorems for the group Fourier transform on $ \mathbb{H}^n $ and also for the spectral projections associated to the sublaplacian.

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Pritam Ganguly, Sundaram Thangavelu. 2021-06-04. Analogues of theorems of Chernoff and Ingham on the Heisenberg group. https://arxiv.org/abs/2106.02704

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