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.

Full rank filters and polynomial reproduction / Cotronei, Mariantonia; Sauer, T. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 6:3(2007), pp. 667-687. [10.3934/cpaa.2007.6.667]

Full rank filters and polynomial reproduction

COTRONEI, Mariantonia;
2007-01-01

Abstract

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.
2007
Subdivision; Full rank; Strang–Fix conditions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/5400
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