Monic non-commutative orthogonal polynomials
Combinatorics
2008-04-05 v1 Operator Algebras
Abstract
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.
Cite
@article{arxiv.math/0702157,
title = {Monic non-commutative orthogonal polynomials},
author = {Michael Anshelevich},
journal= {arXiv preprint arXiv:math/0702157},
year = {2008}
}
Comments
10 pages