On theorems of Chernoff and Ingham on the Heisenberg group
Functional Analysis
2021-02-09 v2 Classical Analysis and ODEs
Abstract
We prove an analogue of Chernoff's theorem for the sublaplacian on the Heisenberg group and use it prove a version of Ingham's theorem for the Fourier transform on the same group.
Cite
@article{arxiv.2009.14230,
title = {On theorems of Chernoff and Ingham on the Heisenberg group},
author = {Sayan Bagchi and Pritam Ganguly and Jayanta Sarkar and Sundaram Thangavelu},
journal= {arXiv preprint arXiv:2009.14230},
year = {2021}
}
Comments
26 pages, Revised version