Uncertainty inequalities on groups and homogeneous spaces via isoperimetric inequalities
Classical Analysis and ODEs
2014-04-15 v2 Functional Analysis
Metric Geometry
Abstract
We prove a family of uncertainty inequalities on fairly general groups and homogeneous spaces, both in the smooth and in the discrete setting. The crucial point is the proof of the endpoint, which is derived from a general weak isoperimetric inequality.
Keywords
Cite
@article{arxiv.1308.1069,
title = {Uncertainty inequalities on groups and homogeneous spaces via isoperimetric inequalities},
author = {Gian Maria Dall'Ara and Dario Trevisan},
journal= {arXiv preprint arXiv:1308.1069},
year = {2014}
}
Comments
17 pages