On the structure of non-commutative white noises

Köstler, Claus; Speicher, Roland

doi:10.1090/S0002-9947-07-04165-7

On the structure of non-commutative white noises
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Trans. Amer. Math. Soc. 359 (2007), 4325-4338 Request permission

Abstract:

We consider the concepts of continuous Bernoulli systems and non-commutative white noises. We address the question of isomorphism of continuous Bernoulli systems and show that for large classes of quantum Levy processes one can make quite precise statements about the time behaviour of their moments.

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