Logarithmic potentials with external fields

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 appr...

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Detalles Bibliográficos
Autores principales: Saff, Edward B, Totik, Vilmos
Lenguaje:eng
Publicado: Springer 1997
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-662-03329-6
http://cds.cern.ch/record/1667152
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author Saff, Edward B
Totik, Vilmos
author_facet Saff, Edward B
Totik, Vilmos
author_sort Saff, Edward B
collection CERN
description 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.
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publishDate 1997
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spelling cern-16671522021-04-21T21:15:16Zdoi:10.1007/978-3-662-03329-6http://cds.cern.ch/record/1667152engSaff, Edward BTotik, VilmosLogarithmic potentials with external fieldsMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:16671521997
spellingShingle Mathematical Physics and Mathematics
Saff, Edward B
Totik, Vilmos
Logarithmic potentials with external fields
title Logarithmic potentials with external fields
title_full Logarithmic potentials with external fields
title_fullStr Logarithmic potentials with external fields
title_full_unstemmed Logarithmic potentials with external fields
title_short Logarithmic potentials with external fields
title_sort logarithmic potentials with external fields
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-662-03329-6
http://cds.cern.ch/record/1667152
work_keys_str_mv AT saffedwardb logarithmicpotentialswithexternalfields
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