English

On a two variable class of Bernstein-Szego measures

Classical Analysis and ODEs 2012-04-25 v2

Abstract

The one variable Bernstein-Szego theory for orthogonal polynomials on the real line is extended to a class of two variable measures. The polynomials orthonormal in the total degree ordering and the lexicographical ordering are constructed and their recurrence coefficients discussed.

Keywords

Cite

@article{arxiv.0710.0035,
  title  = {On a two variable class of Bernstein-Szego measures},
  author = {Antonia M. Delgado and Jeffrey S. Geronimo and Plamen Iliev and Yuan Xu},
  journal= {arXiv preprint arXiv:0710.0035},
  year   = {2012}
}

Comments

minor changes

R2 v1 2026-06-21T09:23:51.870Z