Multiresolution wavelet analysis of Bessel functions of scale $ν+1$
| dc.creator | Jorgensen, P. E. T. | |
| dc.creator | Paolucci, A. | |
| dc.date | 2000-06-14 | |
| dc.date | 2000-08-25 | |
| dc.date.accessioned | 2026-07-07T04:35:53Z | |
| dc.date.available | 2026-07-07T04:35:53Z | |
| dc.description | We identify multiresolution subspaces giving rise via Hankel transforms to Bessel functions. They emerge as orthogonal systems derived from geometric Hilbert-space considerations, the same way the wavelet functions from a multiresolution scaling wavelet construction arise from a scale of Hilbert spaces. We study the theory of representations of the C*-algebra O_{ν+1} arising from this multiresolution analysis. | |
| dc.description | 19 pages, REVTeX v. 3.1, submitted to J. Math. Phys., PACS 02.30.Nw, 02.30.Tb, 03.65.-w, 03.65.Bz, 03.65.Db. In the revision, the title is changed (from "Deformed multiresolution wavelet analysis of scale $ν+1$"), some more introductory material is added, and some points both in the statements of results and their proof have been clarified | |
| dc.identifier | https://arxiv.org/abs/math/0006103 | |
| dc.identifier | http://arxiv.org/abs/math/0006103 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59408 | |
| dc.subject | Functional Analysis | |
| dc.subject | Mathematical Physics | |
| dc.subject | 42C15, 43A99, 44A20, 81R50 (Primary); 46N50,47D45, 47D25 (Secondary) | |
| dc.title | Multiresolution wavelet analysis of Bessel functions of scale $ν+1$ | |
| dc.type | text |