Beurling-Malliavin theory for Toeplitz kernels
| dc.creator | Makarov, N. | |
| dc.creator | Poltoratski, A. | |
| dc.date | 2007-02-16 | |
| dc.date.accessioned | 2026-07-07T07:47:22Z | |
| dc.date.available | 2026-07-07T07:47:22Z | |
| dc.description | We consider the family of Toeplitz operators $T_{J\bar S^{a}}$ acting in the Hardy space $H^2$ in the upper halfplane; $J$ and $S$ are given meromorphic inner functions, and $a$ is a real parameter. In the case where the argument of $S$ has a power law type behavior on the real line, we compute the critical value $$ c(J,S)=\inf\left\{a: \ker T_{J\bar S^{a}}\ne0\right\}.$$ The formula for $ c(J,S)$ generalizes the Beurling-Malliavin theorem on the radius of completeness for a system of exponentials. | |
| dc.identifier | https://arxiv.org/abs/math/0702497 | |
| dc.identifier | http://arxiv.org/abs/math/0702497 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124142 | |
| dc.subject | Complex Variables | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Beurling-Malliavin theory for Toeplitz kernels | |
| dc.type | text |