Local Dimension of Piecewise Polynomial Spaces, Syzygies, and Solutions of Systems of Partial Differential Equations

Wolfgang Dahmen; Charles A. Micchelli

doi:10.1002/mana.3211480107

Mathematische Nachrichten

Paper

03 May 2012

Local Dimension of Piecewise Polynomial Spaces, Syzygies, and Solutions of Systems of Partial Differential Equations

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Abstract

In this paper we discuss the relationship between syzygies, the dimension of spline spaces and the solutions of systems of differential equations. Several applications of our results are given. Copyright © 1990 WILEY‐VCH Verlag GmbH & Co. KGaA

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