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/