43 citations · 229 across the 31 of their papers we have counts for
Showing 2008 · math.OAShow all
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math.OA2008
Product-type non-commutative polynomial states
Michael Anshelevich
In math/0702157, arXiv:0712.4185, we investigated monic multivariate non-commutative orthogonal polynomials, their recursions, states of orthogonality, and corresponding continued…
math.OA2008
Free evolution on algebras with two states
Michael Anshelevich
The key result in the paper concerns two transformations, Phi(rho, psi) and B_t(psi) on states on the algebra of non-commutative polynomials, or equivalently on joint distributions…
math.OA2008★ 2 cited
Appell polynomials and their relatives III. Conditionally free theory
Michael Anshelevich
We extend to the multivariate non-commutative context the descriptions of a "once-stripped" probability measure in terms of Jacobi parameters, orthogonal polynomials, and the momen…