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math-ph2005

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

C. Pita-Ruiz, S. B. Sontz

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-energ…