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Regular points for Lagrange interpolation on the unit disk
Authors:Thomas Sauer  Yuan Xu
Affiliation:(1) Mathematical Institute, University Erlangen-Nuremberg, D-90537 Erlangen, Germany;(2) Department of Mathematics, University of Oregon, 97403 Eugene, OR, USA
Abstract:A set of points on the unit disk of the Euclidean plane is given, which admits unique Lagrange interpolation. The points have rotational symmetry and they form an example of natural lattices of Chung and Yao [2]. Properties of Lagrange interpolation with respect to these points are studied.Work done when visiting the University of Oregon at Eugene, Oregon.Supported by National Science Foundation under Grant No. 9302721.
Keywords:Lagrange interpolation  two variables  unit disk
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