The local trace function for super-wavelets
| dc.creator | Dutkay, Dorin Ervin | |
| dc.date | 2005-11-05 | |
| dc.date.accessioned | 2026-07-07T06:50:51Z | |
| dc.date.available | 2026-07-07T06:50:51Z | |
| dc.description | We define an affine structure on $\ltwor\oplus...\oplus\ltwor$ and, following some ideas developed in \cite{Dut1}, we construct a local trace function for this situation. This trace function is a complete invariant for a shift invariant subspace and it has a variety of properties which make it easily computable. The local trace is then used to give a characterization of super-wavelets and to analyze their multiplicity function, dimension function and spectral function. The "$n\times$" oversampling result of Chui and Shi \cite{CS} is refined to produce super-wavelets. | |
| dc.identifier | https://arxiv.org/abs/math/0511143 | |
| dc.identifier | http://arxiv.org/abs/math/0511143 | |
| dc.identifier | Wavelets, frames and operator theory}, 115--136, eds: C.Heil, P.Jorgensen, D.Larson, Proceedings of the 2003 annual AMS meeting | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104794 | |
| dc.subject | Functional Analysis | |
| dc.title | The local trace function for super-wavelets | |
| dc.type | text |