Polya conditions for multivariate Birkhoff interpolation: from general to rectangular sets of nodes
Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 1
M. Crainic; N. Crainic. Polya conditions for multivariate Birkhoff interpolation: from general to rectangular sets of nodes. Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a1/
@article{AMUC_2010_79_1_a1,
     author = {M. Crainic and N. Crainic},
     title = {Polya conditions for multivariate {Birkhoff} interpolation: from general to rectangular sets of nodes},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2010},
     volume = {79},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a1/}
}
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Voir la notice de l'article provenant de la source Comenius University

Polya conditions are certain algebraic inequalities that regular Birkhoff interpolation schemes must satisfy, and they are useful in deciding if a given scheme is regular or not. Here we review the classical Polya condition and then we show how it can be strengthened in the case of rectangular nodes.