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LES NOUVEAUX OUTILS DE L'ENTREPRISE DE DEMAIN

de Philippe Mounier

LES NOUVEAUX OUTILS DE L'ENTREPRISE DE DEMAIN




 


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Logarithmic Potentials with External Fields

Titre :

Logarithmic Potentials with External Fields

Caractéristiques :


Auteur(s) :Vilmos Totik et Edward B. Saff
Editeur :SPRINGER VERLAG
Parution :12/2010
Langue :Anglais Anglais
ISBN :978-3-642-08173-6
Reliure :Paperback
Prix :109.00 € ttc
Disponibilité :Livraison sous 2 à 10 jours ouvrables.

Couverture :


Logarithmic Potentials with External Fields

Résumé :

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.

Table des matières :

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.- Appendix A. The Dirichlet Problem and Harmonic Measures.- Appendix B. Weighted Approximation in CN.- Basic Results of Potential Theory.- Bibliography.- List of Symbols.- Index.

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