Classical Bargmann’s representation is given by operators acting on the space of holomorphic functions with scalar product . We consider the problem of representing the functional F as a measure. We prove the existence of such a measure for q > 1 and investigate some of its properties like uniqueness and radiality.
@article{bwmeta1.element.bwnjournal-article-bcpv43i1p253bwm,
author = {Kr\'olak, Ilona},
title = {Measures connected with Bargmann's representation of the q-commutation relation for q > 1},
journal = {Banach Center Publications},
volume = {43},
year = {1998},
pages = {253-257},
zbl = {0923.30024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p253bwm}
}
Królak, Ilona. Measures connected with Bargmann's representation of the q-commutation relation for q > 1. Banach Center Publications, Tome 43 (1998) pp. 253-257. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p253bwm/
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