Slanted matrices, Banach frames, and sampling
| dc.creator | Aldroubi, A. | |
| dc.creator | Baskakov, A. | |
| dc.creator | Krishtal, I. | |
| dc.date | 2007-05-29 | |
| dc.date.accessioned | 2026-07-07T08:03:33Z | |
| dc.date.available | 2026-07-07T08:03:33Z | |
| dc.description | In this paper we present a rare combination of abstract results on the spectral properties of slanted matrices and some of their very specific applications to frame theory and sampling problems. We show that for a large class of slanted matrices boundedness below of the corresponding operator in $\ell^p$ for some $p$ implies boundedness below in $\ell^p$ for all $p$. We use the established resultto enrich our understanding of Banach frames and obtain new results for irregular sampling problems. We also present a version of a non-commutative Wiener's lemma for slanted matrices. | |
| dc.identifier | https://arxiv.org/abs/0705.4304 | |
| dc.identifier | http://arxiv.org/abs/0705.4304 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129620 | |
| dc.subject | Functional Analysis | |
| dc.subject | Spectral Theory | |
| dc.subject | 47B37; 42C15;47N99;94A20 | |
| dc.title | Slanted matrices, Banach frames, and sampling | |
| dc.type | text |