Pritam Ganguly, Sundaram Thangavelu
Published 2021-06-04Version 1
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.
An analogue of Ingham's theorem on the Heisenberg group
Beurling's theorem on the Heisenberg group
On the lacunary spherical maximal function on the Heisenberg group
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