$p$-Adic multiresolution analyses
| dc.creator | Albeverio, S. | |
| dc.creator | Evdokimov, S. | |
| dc.creator | Skopina, M. | |
| dc.date | 2008-10-07 | |
| dc.date.accessioned | 2026-07-07T10:08:05Z | |
| dc.date.available | 2026-07-07T10:08:05Z | |
| dc.description | We study $p$-adic multiresolution analyses (MRAs). A complete characterisation of test functions generating a MRA (scaling functions) is given. We prove that only 1-periodic test functions may be taken as orthogonal scaling functions and that all such scaling functions generate Haar MRA. We also suggest a method of constructing sets of wavelet functions and prove that any set of wavelet functions generates a $p$-adic wavelet frame. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/0810.1147 | |
| dc.identifier | http://arxiv.org/abs/0810.1147 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170870 | |
| dc.subject | Functional Analysis | |
| dc.subject | Number Theory | |
| dc.title | $p$-Adic multiresolution analyses | |
| dc.type | text |