Lower bounds for quasianalytic functions, I. How to control smooth functions?
| dc.creator | Nazarov, F. | |
| dc.creator | Sodin, M. | |
| dc.creator | Volberg, A. | |
| dc.date | 2002-08-29 | |
| dc.date | 2003-01-20 | |
| dc.date.accessioned | 2026-07-07T06:30:20Z | |
| dc.date.available | 2026-07-07T06:30:20Z | |
| dc.description | Consider a class of functions of one real variable with the following uniqueness property: if a function f(x) from the class vanishes on a set of positive measure, then f is the zero function. In many instances, we would like to have a quantitative version of this property, e.g. a lower bound for f(x) outside a small exceptional set. Such estimates are well-known and useful for polynomials and analytic functions. In this work we prove similar results for the Denjoy-Carleman and the Bernstein classes of quasianalytic functions. | |
| dc.description | Stylistic corrections have been made | |
| dc.identifier | https://arxiv.org/abs/math/0208233 | |
| dc.identifier | http://arxiv.org/abs/math/0208233 | |
| dc.identifier | Math. Scand. 95 (2004), 59--79. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98314 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Lower bounds for quasianalytic functions, I. How to control smooth functions? | |
| dc.type | text |