Strong asymptotics for Christoffel functions of planar measures
| dc.creator | Bloom, Tom | |
| dc.creator | Levenberg, Norm | |
| dc.date | 2007-09-13 | |
| dc.date.accessioned | 2026-07-07T08:29:20Z | |
| dc.date.available | 2026-07-07T08:29:20Z | |
| dc.description | We prove a version of strong asymptotics of Christoffel functions with varying weights for a general class of sets E and measures in the complex plane. This class includes all regular measures in the sense of Stahl-Totik on regular compact sets E in the plane and even allows varying weights. Our main theorems cover some known results for subsets E of the real line R; in particular, we recover information in the case of E=R with Lebesgue measure dx and weight w(x) = exp(-Q(x)) where Q(x) is a nonnegative, even degree polynomial having positive leading coefficient. | |
| dc.identifier | https://arxiv.org/abs/0709.2073 | |
| dc.identifier | http://arxiv.org/abs/0709.2073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137934 | |
| dc.subject | Complex Variables | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42C05 | |
| dc.title | Strong asymptotics for Christoffel functions of planar measures | |
| dc.type | text |