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

Banach Center Publications (2007)

- Volume: 78, Issue: 1, page 69-80
- ISSN: 0137-6934

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topVitonofrio 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 -

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