A projective central limit theorem and interacting Fock space representation for the limit process

• Autorzy: Vitonofrio Crismale
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46L53: Noncommutative probability and statistics
• 60B99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 78
• Numer: 1
• Strony: 69-80

Daty

wydano

2007

Twórcy

autor

Vitonofrio Crismale

• Dipartimento di Matematica, Università di Bari, Via E. Orabona, 4, 70125 Bari, Italy

Identyfikatory

DOI

10.4064/bc78-0-5