Riesz bases and multiresolution analyses (Q1818577)
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: Riesz bases and multiresolution analyses |
scientific article; zbMATH DE number 1384044
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Riesz bases and multiresolution analyses |
scientific article; zbMATH DE number 1384044 |
Statements
Riesz bases and multiresolution analyses (English)
0 references
17 September 2000
0 references
In this paper the author constructs a family of wavelet Riesz bases of compact support and arbitrary degree of smoothness, that cannot be obtained through a multiresolution analysis. The family is obtained by perturbing the orthonormal Haar wavelet with B-splines, giving thus a symmetric wavelet in closed form. The author also obtains several necessary and sufficient conditions for a wavelet Riesz basis to be generated by a multiresolution analysis.
0 references
wavelet Riesz bases
0 references
multiresolution analysis
0 references
