2 papers
math-ph2008
How the -deformed Segal-Bargmann space gets two measures
Stephen Bruce Sontz
This note explains how the two measures used to define the -deformed Segal-Bargmann space are natural and essentially unique structures. As is well known, the density with respe…
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…