Frame-type families of translates
| dc.creator | Nitzan-Hahamov, Shahaf | |
| dc.creator | Olevskii, Alexander | |
| dc.date | 2008-09-13 | |
| dc.date.accessioned | 2026-07-07T10:02:45Z | |
| dc.date.available | 2026-07-07T10:02:45Z | |
| dc.description | We construct a uniformly discrete, and even sparse, sequence of real numbers $Λ=\{λ_n\}$ and a function g in $L^2(R)$, such that for every q>2, every function f in $L^2(R)$ can be approximated with arbitrary small error by a linear combination $\sum c_n g(t-λ_n)$ with an $l_q$ estimate of the coefficients: \|\{c_n\}\|_{l_q}\leq C(q)\|f\|. This can not be done for q=2, according to [2]. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0809.2326 | |
| dc.identifier | http://arxiv.org/abs/0809.2326 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169085 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42C15; 42C30 | |
| dc.title | Frame-type families of translates | |
| dc.type | text |