Monic non-commutative orthogonal polynomials Institutional Repository Document 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.

author list (cited authors)

  • Anshelevich, M.

complete list of authors

  • Anshelevich, Michael

Book Title

  • arXiv

publication date

  • February 2007