Journalartikel

Full rank filters and polynomial reproduction


AutorenlisteCotronei, Mariantonia; Sauer, Tomas

Jahr der Veröffentlichung2007

Seiten667-687

ZeitschriftCommunications on Pure and Applied Analysis

Bandnummer6

Heftnummer3

ISSN1534-0392

eISSN1553-5258

Open Access StatusBronze

DOI Linkhttps://doi.org/10.3934/cpaa.2007.6.667

VerlagAmerican 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.



Zitierstile

Harvard-ZitierstilCotronei, 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-ZitierstilCotronei, 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



Schlagwörter


APPROXIMATION ORDERfull rankidealsMULTIVARIATE REFINABLE FUNCTIONSpolynomial reproductionquotient idealStrang-Fix conditionssubdivision

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