, Volume 12, Issue 4, pp 377-410

Polynomial interpolation in several variables

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Abstract

This is a survey of the main results on multivariate polynomial interpolation in the last twenty-five years, a period of time when the subject experienced its most rapid development. The problem is considered from two different points of view: the construction of data points which allow unique interpolation for given interpolation spaces as well as the converse. In addition, one section is devoted to error formulas and another to connections with computer algebra. An extensive list of references is also included.

This revised version was published online in June 2006 with corrections to the Cover Date.