UM
Characterization of compactly supported refinable splines whose shifts form a Riesz basis
Guan Y.1; Lu S.3; Tang Y.Y.2
2005-04-01
Source PublicationJournal of Approximation Theory
ISSN00219045
Volume133Issue:2Pages:245-250
AbstractBased on (J. Approx. Theory 86 (1996) 240), we prove that the integer shifts of a multivariate blockwise polynomial φ(x) which is compactly supported and m-refinable form a Riesz basis if and only if φ(x) = cB(x - n - l/m-1 ν, ν, ..., ν). Here n, l ∈ ℤ, c ≠ 0 is a constant, B (x ν, ν,..., ν), is a multivariate box spline and the matrix (ν, ν,..., ν) is unimodular. © 2005 Elsevier Inc. All rights reserved.
KeywordBox spline Compact support Multivariate spline Refinement Riesz basis
DOI10.1016/j.jat.2004.12.015
URLView the original
Language英語
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Cited Times [WOS]:3   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Jilin University
2.Hong Kong Baptist University
3.Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Guan Y.,Lu S.,Tang Y.Y.. Characterization of compactly supported refinable splines whose shifts form a Riesz basis[J]. Journal of Approximation Theory,2005,133(2):245-250.
APA Guan Y.,Lu S.,&Tang Y.Y..(2005).Characterization of compactly supported refinable splines whose shifts form a Riesz basis.Journal of Approximation Theory,133(2),245-250.
MLA Guan Y.,et al."Characterization of compactly supported refinable splines whose shifts form a Riesz basis".Journal of Approximation Theory 133.2(2005):245-250.
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