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math-ph2007
Direct and reverse log-Sobolev inequalities in -deformed Segal-Bargmann analysis
Carlos Ernesto Angulo Aguila, Stephen Bruce Sontz
Both direct and reverse log-Sobolev inequalities, relating the Shannon entropy with a -deformed energy, are shown to hold in a family of -deformed Segal-Bargmann spaces. This…
math-ph2007
The -deformed Segal-Bargmann transform is a Hall type transform
Stephen Bruce Sontz
We present an explanation of how the -deformed Segal-Bargmann spaces, that are studied in various articles of the author in collaboration with Angulo, Echevarria and Pita, can b…