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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Lenguaje: | eng |
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Springer
1997
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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. |
id | cern-1667152 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1997 |
publisher | Springer |
record_format | invenio |
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 AT totikvilmos logarithmicpotentialswithexternalfields |