English

Uncertainty principles for the imaginary Ornstein-Uhlenbeck operator

Analysis of PDEs 2024-06-25 v2

Abstract

We prove two forms of uncertainty principle for the Schr\"odinger group generated by the Ornstein-Uhlenbeck operator. As a consequence, we derive a related (in fact, equivalent) result for the imaginary harmonic oscillator.

Keywords

Cite

@article{arxiv.2406.10766,
  title  = {Uncertainty principles for the imaginary Ornstein-Uhlenbeck operator},
  author = {Nicola Garofalo},
  journal= {arXiv preprint arXiv:2406.10766},
  year   = {2024}
}

Comments

Several typos have been corrected

R2 v1 2026-06-28T17:07:27.680Z