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

Vitonofrio Crismale. "A projective central limit theorem and interacting Fock space representation for the limit process." Banach Center Publications 78.1 (2007): 69-80. <http://eudml.org/doc/281904>.

@article{VitonofrioCrismale2007,
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.},
author = {Vitonofrio Crismale},
journal = {Banach Center Publications},
keywords = {interacting Fock spaces; central limit theorem; GNS representation},
language = {eng},
number = {1},
pages = {69-80},
title = {A projective central limit theorem and interacting Fock space representation for the limit process},
url = {http://eudml.org/doc/281904},
volume = {78},
year = {2007},
}

TY - JOUR
AU - Vitonofrio Crismale
TI - A projective central limit theorem and interacting Fock space representation for the limit process
JO - Banach Center Publications
PY - 2007
VL - 78
IS - 1
SP - 69
EP - 80
AB - 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.
LA - eng
KW - interacting Fock spaces; central limit theorem; GNS representation
UR - http://eudml.org/doc/281904
ER -