Low-pass filters and representations of the Baumslag Solitar group
| dc.creator | Dutkay, Dorin Ervin | |
| dc.date | 2004-07-20 | |
| dc.date | 2005-12-16 | |
| dc.date.accessioned | 2026-07-07T08:38:11Z | |
| dc.date.available | 2026-07-07T08:38:11Z | |
| dc.description | We analyze representations of solvable Baumslag Solitar group that admit wavelets and show how such representations can be constructed from a given low-pass filter. We describe the direct integral decomposition for some examples and derive from it a general criterion for the existence of solutions for scaling equations. As another application, we construct a Fourier transform for some Hausdorff measures. | |
| dc.identifier | https://arxiv.org/abs/math/0407344 | |
| dc.identifier | http://arxiv.org/abs/math/0407344 | |
| dc.identifier | Trans. Amer. Math. Soc. 358 (2006), no. 12, 5271--5291 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140637 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Operator Algebras | |
| dc.subject | 42C40, 28A78, 46L45, 28D05, 22D25 | |
| dc.title | Low-pass filters and representations of the Baumslag Solitar group | |
| dc.type | text |