On Hirschman and log-Sobolev inequalities in mu-deformed Segal-Bargmann analysis
Abstract
We consider a deformation of Segal-Bargmann space and its transform. We study Lp 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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