Radial multiresolution in dimension three
| dc.creator | Rauhut, Holger | |
| dc.creator | Rösler, Margit | |
| dc.date | 2003-09-22 | |
| dc.date | 2003-09-24 | |
| dc.date.accessioned | 2026-07-07T05:01:21Z | |
| dc.date.available | 2026-07-07T05:01:21Z | |
| dc.description | We present a construction of a wavelet-type orthonormal basis for the space of radial $L^2$-functions in $\R^3$ via the concept of a radial multiresolution analysis. The elements of the basis are obtained from a single radial wavelet by usual dilations and generalized translations. Hereby the generalized translation reveals the group convolution of radial functions in $\R^3$. We provide a simple way to construct a radial scaling function and a radial wavelet from an even classical scaling function on $\R$. Furthermore, decomposition and reconstruction algorithms are formulated. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0309362 | |
| dc.identifier | http://arxiv.org/abs/math/0309362 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68639 | |
| dc.subject | Functional Analysis | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42C40;,43A62 | |
| dc.title | Radial multiresolution in dimension three | |
| dc.type | text |