Localization of Multi-Dimensional Wigner Distributions
Mathematical Physics
2015-05-19 v2 math.MP
Quantum Physics
Abstract
A well known result of P. Flandrin states that a Gaussian uniquely maximizes the integral of the Wigner distribution over every centered disc in the phase plane. While there is no difficulty in generalizing this result to higher-dimensional poly-discs, the generalization to balls is less obvious. In this note we provide such a generalization.
Cite
@article{arxiv.1007.1796,
title = {Localization of Multi-Dimensional Wigner Distributions},
author = {Elliott H. Lieb and Yaron Ostrover},
journal= {arXiv preprint arXiv:1007.1796},
year = {2015}
}
Comments
Minor corrections, to appear in the Journal of Mathematical Physics