Around Uncertainty Principles of Ingham-type on ${\mathbb{R}}^n$, $\T^n$ and Two Step Nilpotent Lie Groups

Mithun Bhowmik, Swagato K. Ray, Suparna Sen

Classical results due to Ingham and Paley-Wiener characterize the existence of nonzero functions supported on certain subsets of the real line in terms of the pointwise decay of th…