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math.OA2014★ 1 cited
Operator-Valued Monotone Convolution Semigroups and an Extension of the Bercovici-Pata Bijection
Michael Anshelevich, John D. Williams
In a 1999 paper, Bercovici and Pata showed that a natural bijection between the classically, free and Boolean infinitely divisible measures held at the level of limit theorems of t…
math.OA2014
Operator-valued Jacobi parameters and examples of operator-valued distributions
Michael Anshelevich, John D. Williams
In the setting of distributions taking values in a -algebra , we define generalized Jacobi parameters and study distributions they generate. These include nume…