✦ LIBER ✦

Convergence of Cascade Algorithms in Sobolev Spaces for Perturbed Refinement Masks

✍ Scribed by Di-Rong Chen; Gerlind Plonka

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 224 KB
Volume: 119
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.2002.3682

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Convergence of Cascade Algorithms in Sob

Convergence of Cascade Algorithms in Sobolev Spaces Associated with Inhomogeneous Refinement Equations

✍ Song Li 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 117 KB

Convergence of Cascade Algorithms in Sob

Convergence of Cascade Algorithms in Sobolev Spaces Associated with Multivariate Refinement Equations

✍ Song Li 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 130 KB

This paper is concerned with multivariate inhomogeneous refinement equations written in the form ϕ x = α∈ s a α ϕ Mx -α + g x x ∈ s , where ϕ 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

Stability Implies Convergence of Cascade

Stability Implies Convergence of Cascade Algorithms in Sobolev Space

✍ Di-Rong Chen; Xiaobo Zheng 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 113 KB

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.  2002 Elsevie