English

Vector- valued distributions and Hardy's uncertainty principle for operators

Classical Analysis and ODEs 2008-05-14 v1

Abstract

In this paper, we generalise Hardy's uncertainty principle to vector-valued functions, and hence to operators. The principle for operators can be formulated loosely by saying that the kernel of an operator cannot be localised near the diagonal if the spectrum is also localised.

Keywords

Cite

@article{arxiv.0805.1807,
  title  = {Vector- valued distributions and Hardy's uncertainty principle for operators},
  author = {Michael G. Cowling and Bruno Demange and Maddala Sundari},
  journal= {arXiv preprint arXiv:0805.1807},
  year   = {2008}
}

Comments

10 pages

R2 v1 2026-06-21T10:39:50.092Z