A Non-commutative Levy - Cramer Continuity Theorem
V. Jaksic, Y. Pautrat, C.-A. Pillet
2010, v.16, Issue 1, 59-78
ABSTRACT
The classical Levy - Cramer continuity theorem asserts that the convergence of the characteristic functions implies the weak convergence of the corresponding probability measures. We extend this result to the setting of non-commutative probability theory and discuss some applications.
Keywords: non-commutative probability,Levy - Cramer theorem
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