# American Institute of Mathematical Sciences

September  2007, 6(3): 667-687. doi: 10.3934/cpaa.2007.6.667

## Full rank filters and polynomial reproduction

 1 DIMET, Universita degli Studi “Mediterranea” di Reggio Calabria, Via Graziella, I–89066 Reggio Calabria, Italy 2 Lehrstuhl für Numerische Mathematik, Justus–Liebig–Universität Gieβen, Heinrich–Buff–Ring 44, D–35392 Gieβen, Germany

Received  April 2006 Revised  January 2007 Published  June 2007

We study polynomial (re)production properties of full rank stationary subdivision schemes and develop characterizations that are almost identical to the scalar case. Moreover, we give a version of the Strang--Fix conditions for the integer translates of a matrix valued function whose columns are linearly independent.
Citation: Mariantonia Cotronei, Tomas Sauer. Full rank filters and polynomial reproduction. Communications on Pure and Applied Analysis, 2007, 6 (3) : 667-687. doi: 10.3934/cpaa.2007.6.667
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