Convergence and boundedness of cascade algorithm in Besov spaces and Triebel-Lizorkin spaces. I (Q2767407)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Convergence and boundedness of cascade algorithm in Besov spaces and Triebel-Lizorkin spaces. I |
scientific article; zbMATH DE number 1697417
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence and boundedness of cascade algorithm in Besov spaces and Triebel-Lizorkin spaces. I |
scientific article; zbMATH DE number 1697417 |
Statements
29 January 2002
0 references
refinable distribution
0 references
cascade algorithm
0 references
Besov spaces
0 references
Triebel-Lizorkin spaces
0 references
convergence
0 references
0.99360585
0 references
0.9023149
0 references
0.9001978
0 references
0.8813063
0 references
0.8806148
0 references
0.8778683
0 references
Convergence and boundedness of cascade algorithm in Besov spaces and Triebel-Lizorkin spaces. I (English)
0 references
It is found a characterization of convergence and boundedness of a cascade algorithm by using joint spectral radius on a finite dimensional space. It is shown the close relationship between convergence and boundedness of the cascade algorithm and the regularity of the corresponding refinable distribution. These results are prepared to apply them to the study of existence of a compactly supported solution to inhomogeneous refinement equations in Besov spaces and Triebel-Lizorkin spaces.
0 references
