Conference paper

Regularity of multivariate vector subdivision schemes


Authors listCharina, M; Conti, C; Sauer, T

Publication year2005

Pages97-113

JournalNumerical Algorithms

Volume number39

Issue number1-3

ISSN1017-1398

DOI Linkhttps://doi.org/10.1007/s11075-004-3623-z

Conference3rd Multivariate Approximation - Theory and Applications

PublisherSpringer


Abstract
In this paper we discuss methods for investigating the convergence of multivariate vector subdivision schemes and the regularity of the associated limit functions. Specifically, we consider difference vector subdivision schemes whose restricted contractivity determines the convergence of the original scheme and describes the connection between the regularity of the limit functions of the difference subdivision scheme and the original subdivision scheme.



Citation Styles

Harvard Citation styleCharina, M., Conti, C. and Sauer, T. (2005) Regularity of multivariate vector subdivision schemes, Numerical Algorithms, 39(1-3), pp. 97-113. https://doi.org/10.1007/s11075-004-3623-z

APA Citation styleCharina, M., Conti, C., & Sauer, T. (2005). Regularity of multivariate vector subdivision schemes. Numerical Algorithms. 39(1-3), 97-113. https://doi.org/10.1007/s11075-004-3623-z



Keywords


MULTIPLE WAVELETSREFINABLE FUNCTION VECTORSSOBOLEV SPACES

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