On theorems of Ingham and Chernoff on Heisenberg groups and symmetric spaces
Pritam Ganguly, IISc Bangalore
| Speaker |
Pritam Ganguly, IISc Bangalore
|
|---|---|
| When |
Feb 14, 2022
from 02:00 PM to 03:00 PM |
| Where | zoom seminar |
| Contact Name | Pramila |
| Contact Phone | 08066953702 |
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ABSTRACT: An uncertainty principle due to Ingham (proved initially on $\mathbb{R}$) investigates the best possible decay admissible for the Fourier transform of a function that vanishes on a nonempty open set. One way to establish such a result is to use a theorem of Chernoff (proved originally on $\mathbb{R}^n$), which provides a sufficient condition for a smooth function to be quasi-analytic in terms of a Carleman condition involving powers of the Laplacian. In this talk, we will give a survey of recent developments dealing with these two theorems in various contexts that include Riemannian symmetric spaces and Heisenberg groups.