The Uncertainty Principle for certain densities
| dc.creator | Kovrizhkin, O. | |
| dc.date | 2002-12-10 | |
| dc.date.accessioned | 2026-07-07T04:53:41Z | |
| dc.date.available | 2026-07-07T04:53:41Z | |
| dc.description | We prove a new version of the Uncertainty Principle of the form $\int |f|^2 \lesssim \int_{E^c} |f|^2 + \int_{Σ^c}|\hat f|^2 $ where the sets $E$ and $Σ$ are $ε$-thin in the following sense: $|E \cap D(x, ρ_1(x))| \le ε|D(x, ρ_1(x))|$ and $|Σ\cap D(x, ρ_2(x))| \le ε|D(x, ρ_2(x))|$. This is an intermediate result between Logvinenko-Sereda's and Wolff's versions of the Uncertainty Principle. | |
| dc.identifier | https://arxiv.org/abs/math/0212151 | |
| dc.identifier | http://arxiv.org/abs/math/0212151 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65953 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42 | |
| dc.title | The Uncertainty Principle for certain densities | |
| dc.type | text |