English

Improved Ingham-type result on $\mathbb R^d$ and on connected, simply connected nilpotent Lie Groups

Functional Analysis 2018-06-19 v1

Abstract

In \cite{BRS} we have characterized the existance of a non zero function vanishing on an open set in terms of the decay of it's Fourier transform on the dd-dimensional Euclidean space, the dd-dimensional torus and on connected, simply connected two step nilpotent Lie groups. In this paper we improved these results on Rd\mathbb R^d and prove analogus results on connected, simply connected nilpotent Lie groups.

Keywords

Cite

@article{arxiv.1806.06691,
  title  = {Improved Ingham-type result on $\mathbb R^d$ and on connected, simply connected nilpotent Lie Groups},
  author = {Mithun Bhowmik},
  journal= {arXiv preprint arXiv:1806.06691},
  year   = {2018}
}