On the correspondence between boson Fock space and the~$L^2$ space with respect to Poisson measure
Sbornik. Mathematics, Tome 188 (1997) no. 11, pp. 1587-1616
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The properties of the integral transformation carrying boson Fock space into the $L^2$ space with respect to Poisson measure are investigated. An explicit formula is obtained for point configuration functions corresponding to Gaussian vectors of boson Fock space.
@article{SM_1997_188_11_a1,
author = {Yu. A. Neretin},
title = {On the correspondence between boson {Fock} space and the~$L^2$ space with respect to {Poisson} measure},
journal = {Sbornik. Mathematics},
pages = {1587--1616},
publisher = {mathdoc},
volume = {188},
number = {11},
year = {1997},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1997_188_11_a1/}
}
TY - JOUR AU - Yu. A. Neretin TI - On the correspondence between boson Fock space and the~$L^2$ space with respect to Poisson measure JO - Sbornik. Mathematics PY - 1997 SP - 1587 EP - 1616 VL - 188 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1997_188_11_a1/ LA - en ID - SM_1997_188_11_a1 ER -
Yu. A. Neretin. On the correspondence between boson Fock space and the~$L^2$ space with respect to Poisson measure. Sbornik. Mathematics, Tome 188 (1997) no. 11, pp. 1587-1616. http://geodesic.mathdoc.fr/item/SM_1997_188_11_a1/