Logarithmic Potentials with External Fields
Author:   Edward B. Saff ,  Vilmos Totik
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1997 ed.
Volume:   316
ISBN:  

9783540570783


Pages:   505
Publication Date:   09 October 1997
Format:   Hardback
Availability:   Out of print, replaced by POD   Availability explained
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Logarithmic Potentials with External Fields


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Overview

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.

Full Product Details

Author:   Edward B. Saff ,  Vilmos Totik
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1997 ed.
Volume:   316
Dimensions:   Width: 15.50cm , Height: 2.80cm , Length: 23.50cm
Weight:   2.020kg
ISBN:  

9783540570783


ISBN 10:   3540570780
Pages:   505
Publication Date:   09 October 1997
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

Preliminaries.- Weighted Potentials.- Recovery of Measures, Green Functions and Balayage.- Weighted Polynomials.- Determination of the Extremal Measure.- Extremal Point Methods.- Weights on the Real Line.- Applications Concerning Orthogonal Polynomials.- Signed Measures.

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