Domain of attraction of Gaussian probability operators in quantum limit theory
Functional Analysis
2009-11-24 v1 Probability
Abstract
We characterise the class of probability operators belonging to the domain of attraction of Gaussian limits in the setup which is a slight generalisation of Urbanik's scheme of noncommutative probability limit theorems.
Keywords
Cite
@article{arxiv.0911.4426,
title = {Domain of attraction of Gaussian probability operators in quantum limit theory},
author = {Katarzyna Lubnauer and Andrzej Łuczak},
journal= {arXiv preprint arXiv:0911.4426},
year = {2009}
}
Comments
to appear in Probability and Mathematical Statistics