A Non-commutative Levy - Cramer Continuity Theorem
2010, v.16, Issue 1, 59-78
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