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Logarithmic Potentials with External Fields

Name: Logarithmic Potentials with External Fields
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01653218
Price: 60.39 EUR
Availability: InStock
Author: Edward B. Saff
ISBN: 9783642081736

Edward B. Saff

Vilmos Totik

Language

English

Book Paperback

Libristo code: 01653218

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, December 2010

This treatment of potential theory emphasizes the effects of an external field (or weight) on the mi... Full description

Libristo code: 01653218

148 b

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This treatment of potential theory emphasizes the effects of an external field (or weight) on the minimum energy problem. Several important aspects of the external field problem (and its extension to signed measures) justify its special attention. The most striking is that it provides a unified approach to seemingly different problems in constructive analysis. These include the asymptotic analysis of orthogonal polynomials, the limited behavior of weighted Fekete points; the existence and construction of fast decreasing polynomials; the numerical conformal mapping of simply and doubly connected domains; generalization of the Weierstrass approximation theorem to varying weights; and the determination of convergence rates for best approximating rational functions.