Equilibrium problems associated with fast decreasing polynomials

Citation
Abj. Kuijlaars et Pd. Dragnev, Equilibrium problems associated with fast decreasing polynomials, P AM MATH S, 127(4), 1999, pp. 1065-1074
Citations number
18
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
4
Year of publication
1999
Pages
1065 - 1074
Database
ISI
SICI code
0002-9939(199904)127:4<1065:EPAWFD>2.0.ZU;2-J
Abstract
The determination of the support of the equilibrium measure in the presence of an external field is important in the theory of weighted polynomials on the real line. Here we present a general condition guaranteeing that the s upport consists of at most two intervals. Applying this to the external fie lds associated with fast decreasing polynomials, we extend previous results of Totik and Kuijlaars-Van Assche. In the proof we use the iterated balaya ge algorithm which was first studied by Dragnev.