English

A connection between the Uncertainty Principles on the real line and on the circle

Functional Analysis 2013-07-19 v1

Abstract

The purpose of this short note is to exhibit a new connection between the Heisenberg Uncertainty Principle on the line and the Breitenberger Uncertainty Principle on the circle, by considering the commutator of the multiplication and difference operators on Bernstein functions

Keywords

Cite

@article{arxiv.1307.4904,
  title  = {A connection between the Uncertainty Principles on the real line and on the circle},
  author = {Nils Byrial Andersen},
  journal= {arXiv preprint arXiv:1307.4904},
  year   = {2013}
}