Bivariate ideal projectors and their perturbations

In this paper we present a complete description of ideal projectors from the space of bivariate polynomials F[x; y] onto its subspace F<n[x; y] of polynomials of degree less than n. Several applications are given. In particular, we study small perturbations of ideal projectors as well as the limits of Lagrange projectors. The latter results verify one particular case of a conjecture of Carl de Boor.

• Type: Journal
• Year: 2008
• Where: ADCM
• Authors: Boris Shekhtman
• Keywords: ADCM 2008, Bivariate Polynomials, Complete Description, Ideal Projectors