Regularity of multivariate refinable functions (Q1288976)
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: Regularity of multivariate refinable functions |
scientific article; zbMATH DE number 1289872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity of multivariate refinable functions |
scientific article; zbMATH DE number 1289872 |
Statements
Regularity of multivariate refinable functions (English)
0 references
15 May 2000
0 references
The regularity of univariate compactly supported refinable functions is known to be related to the spectral properties of an associated transfer operator. The authors derive similar results for the case of multivariate refinable functions with a general dilation matrix \(A\).
0 references
refinable functions
0 references
anisotropic Sobolev spaces
0 references
regularity
0 references
transfer operator
0 references
wavelets
0 references
Strang-Fix condition
0 references
