Balayage Ping-Pong: A Convexity of Equilibrium Measures

Autor:	Peter D Dragnev, David Benko
Rok vydání:	2011
Předmět:	Pure mathematics Balayage Logarithm General Mathematics Discrete orthogonal polynomials Mathematical analysis Regular polygon Measure (mathematics) Convexity Computational Mathematics Unit circle M. Riesz extension theorem Mathematics::Metric Geometry Analysis Mathematics
Zdroj:	Constructive Approximation. 36:191-214
ISSN:	1432-0940 0176-4276
DOI:	10.1007/s00365-011-9143-x
Popis:	In this paper we establish that the density of the equilibrium measure of finitely many intervals for both logarithmic and Riesz potentials is convex. The main tool is a balayage ping-pong technique. A similar result is obtained for finitely many arcs on the unit circle. Applications to external field problems and constrained energy problems are presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b3637ab1be5dd91b4ec4d10df1bcc79c https://doi.org/10.1007/s00365-011-9143-x Zobrazit plný text záznamu Full text from SpringerLink