A projective central limit theorem and interacting Fock space representation for the limit process
Volume 78 / 2007
Banach Center Publications 78 (2007), 69-80
MSC: Primary 46L53; Secondary 60B99.
DOI: 10.4064/bc78-0-5
Abstract
Accardi et al. proved a central limit theorem, based on the notion of projective independence. In this note we use the symmetric projective independence to present a new version of that result, where the limiting process is perturbed by the insertion of suitable test functions. Moreover we give a representation of the limit process in 1-mode type interacting Fock space.
