On Hirschman and log-Sobolev inequalities in mu-deformed Segal-Bargmann analysis

Details On Hirschman and log-Sobolev inequalities in mu-deformed Segal-Bargmann analysis On Hirschman and log-Sobolev inequalities in mu-deformed Segal-Bargmann analysis

2005-07-15

arxiv.org/abs/math-ph/0507037v1

J. Phys. A: Math. Gen. 39 (2006) 8631-8662

Physics

Mathematical Physics

42 pages, 3 figures

Scientific paper

10.1088/0305-4470/39/27/006

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.

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