On Hirschman and log-Sobolev inequalities in mu-deformed Segal-Bargmann analysis
Mathematical Physics
2009-11-11 v1 math.MP
Abstract
We consider a deformation of Segal-Bargmann space and its transform. We study L^p properties of this transform and obtain entropy-entropy inequalities (Hirschman) and entropy-energy inequalities (log-Sobolev) that generalize the corresponding known results in the undeformed theory.
Keywords
Cite
@article{arxiv.math-ph/0507037,
title = {On Hirschman and log-Sobolev inequalities in mu-deformed Segal-Bargmann analysis},
author = {C. Pita-Ruiz and S. B. Sontz},
journal= {arXiv preprint arXiv:math-ph/0507037},
year = {2009}
}
Comments
42 pages, 3 figures