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Contents of PMS, Vol. 30, Fasc. 1,
pages 141 - 152
 

DOMAIN OF ATTRACTION OF GAUSSIAN PROBABILITY OPERATORS IN QUANTUM LIMIT THEORY

Katarzyna Lubnauer
Andrzej Łuczak

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.

2000 AMS Mathematics Subject Classification: Primary: 46L53; Secondary: 28D05.

Keywords and phrases: Probability operators, quantum limit theorem, domain of attraction.

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