Bargmann measures for t-deformed probability

  1. Anna Dorota Krystek
  2. Łukasz Jan Wojakowski

Abstract

It is shown that the Bargmann representation of a t-deformed probability measure can be obtained by taking away some t-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 t-deformed probability measure and to study some prominent examples.

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Probability and Mathematical Statistics

34, z. 2, 2014

Pages from 279 to 291

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