BARGMANN MEASURES FOR -DEFORMED PROBABILITY
Anna Dorota Krystek
Łukasz Jan Wojakowski
Abstract: It is shown that the Bargmann representation of a -deformed probability
measure can be obtained by taking away some -dependent amount of mass at
zero of the Bargmann representation of the original measure and scaling of the
remaining part. This allows us to formulate conditions on existence of the Bargmann
representation of a -deformed probability measure and to study some prominent examples.
2000 AMS Mathematics Subject Classification: Primary: 30E10; Secondary:
60E10.
Keywords and phrases: Bargmann representation, deformation, complex moment
problem.