Journal article
Authors list: Cotronei, Mariantonia; Sauer, Tomas
Publication year: 2007
Pages: 667-687
Journal: Communications on Pure and Applied Analysis
Volume number: 6
Issue number: 3
ISSN: 1534-0392
eISSN: 1553-5258
Open access status: Bronze
DOI Link: https://doi.org/10.3934/cpaa.2007.6.667
Publisher: American Institute of Mathematical Sciences
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.
Citation Styles
Harvard Citation style: Cotronei, M. and Sauer, T. (2007) Full rank filters and polynomial reproduction, Communications on Pure and Applied Analysis, 6(3), pp. 667-687. https://doi.org/10.3934/cpaa.2007.6.667
APA Citation style: Cotronei, M., & Sauer, T. (2007). Full rank filters and polynomial reproduction. Communications on Pure and Applied Analysis. 6(3), 667-687. https://doi.org/10.3934/cpaa.2007.6.667
Keywords
APPROXIMATION ORDER; full rank; ideals; MULTIVARIATE REFINABLE FUNCTIONS; polynomial reproduction; quotient ideal; Strang-Fix conditions; subdivision
