Monic non-commutative orthogonal polynomials Academic Article uri icon

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. 2008 American Mathematical Society.

published proceedings

  • PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

author list (cited authors)

  • Anshelevich, M.

complete list of authors

  • Anshelevich, Michael

publication date

  • January 1, 2008 11:11 AM