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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-5,
author = {Vitonofrio Crismale},
title = {A projective central limit theorem and interacting Fock space representation for the limit process},
journal = {Banach Center Publications},
volume = {75},
year = {2007},
pages = {69-80},
zbl = {1140.46324},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-5}
}
Vitonofrio Crismale. A projective central limit theorem and interacting Fock space representation for the limit process. Banach Center Publications, Tome 75 (2007) pp. 69-80. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc78-0-5/