Relations on noncommutative variables and associated orthogonal polynomials
Functional Analysis
2007-05-23 v1
Abstract
This semi-expository paper surveys results concerning three classes of orthogonal polynomials: in one non-hermitian variable, in several isometric non-commuting variables, and in several hermitian non-commuting variables. The emphasis is on some dilation theoretic techniques that are also described in some details.
Cite
@article{arxiv.math/0312389,
title = {Relations on noncommutative variables and associated orthogonal polynomials},
author = {T. Banks and T. Constantinescu and J. L. Johnson},
journal= {arXiv preprint arXiv:math/0312389},
year = {2007}
}
Comments
29 pages, 4 figures