Mathematics – Combinatorics
Scientific paper
2007-02-06
Proc. Amer. Math. Soc. 136 (2008), 2395-2405
Mathematics
Combinatorics
10 pages
Scientific paper
10.1090/S0002-9939-08-09306-4
Among all states on the algebra of non-commutative polynomials, we
characterize the ones that have monic orthogonal polynomials. The
characterizations involve recursion relations, Hankel-type determinants, and a
representation as a joint distribution of operators on a Fock space.
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