This paper is concerned with multivariate inhomogeneous refinement equations written in the form ฯ x = ฮฑโ s a ฮฑ ฯ Mx -ฮฑ + g x x โ s , where ฯ is the unknown function defined on the s-dimentional Euclidean space s g is a given compactly supported function on s , a is a finitely supported sequence on
โฆ LIBER โฆ
Convergence of Cascade Algorithms in Sobolev Spaces Associated with Inhomogeneous Refinement Equations
โ Scribed by Song Li
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 117 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0021-9045
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This article proves that the stability of the shifts of a refinable function vector ensures the convergence of the corresponding cascade algorithm in Sobolev space to which the refinable function vector belongs. An example of Hermite interpolants is presented to illustrate the result. ๏ฃฉ 2002 Elsevie