A family of nonseparable smooth compactly supported wavelets (Q2836530)
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: A family of nonseparable smooth compactly supported wavelets |
scientific article; zbMATH DE number 6183415
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A family of nonseparable smooth compactly supported wavelets |
scientific article; zbMATH DE number 6183415 |
Statements
3 July 2013
0 references
compactly supported functions
0 references
wavelets
0 references
multiresolution analysis
0 references
scaling functions
0 references
nonseparable functions
0 references
Fourier transform
0 references
0 references
0 references
0 references
A family of nonseparable smooth compactly supported wavelets (English)
0 references
The purpose of this paper is to construct smooth nonseparable wavelet systems of compactly supported functions. Smooth nonseparable compactly supported refinable functions are constructed. These functions generate multiresolution analyses on \(L^{2}(\mathbb R^{d}), d>1\). Using these refinable functions the authors construct smooth nonseparable compactly supported orthonormal wavelet systems. These systems are nonseparable in the sense that none of its constituent functions can be expressed as the product of two functions defined on lower dimensions. Both the refinable functions and the wavelets can be made as smooth as desired. Estimates for the supports of these scaling functions and wavelets are given.
0 references
