Orthogonal polynomials in several variables. I
Functional Analysis
2007-05-23 v1
Abstract
In this paper we introduce and discuss some classes of orthogonal polynomials in several non-commuting variables. The emphasis is on a non-commutative version of the orthogonal polynomials on the real line. We introduce recurrence equations for these polynomials, Christoffel-Darboux formulas, and Jacobi type matrices.
Cite
@article{arxiv.math/0205333,
title = {Orthogonal polynomials in several variables. I},
author = {T. Constantinescu},
journal= {arXiv preprint arXiv:math/0205333},
year = {2007}
}
Comments
17 pages