@misc{10481/97136,
year = {2024},
month = {10},
url = {https://hdl.handle.net/10481/97136},
abstract = {In this paper we consider an appropriate ordering of the Laurent monomials  xiyj ,  i,j∈Z  that allows us to study sequences of orthogonal Laurent polynomials of the real variables  x  and  y  with respect to a positive Borel measure  μdefined on  R2 such that  {x=0}∪{y=0}∉supp(μ) . This ordering is suitable for considering the {\em multiplication plus inverse multiplication operator} on each varibale  (x+1x and  y+1y) , and as a result we obtain five-term recurrence relations, Christoffel-Darboux and confluent formulas for the reproducing kernel and a related Favard's theorem. A connection with the one variable case is also presented, along with some applications for future research.},
organization = {MCIN/AEI/10.13039/501100011033 (Grant CEX2020-001105-M).},
publisher = {Wiley},
keywords = {balanced ordering},
keywords = {Christoffel–Darboux and confluent formula},
keywords = {Favard’s theorem},
title = {Orthogonal Laurent Polynomials of Two Real Variables},
doi = {10.1111/sapm.12783},
author = {Cruz Barroso, Ruymán and Fernández Rodríguez, Lidia},
}