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Logarithmic Potentials with External Fields: 316 (Grundlehren der mathematischen Wissenschaften) - Hardcover

 
9783540570783: Logarithmic Potentials with External Fields: 316 (Grundlehren der mathematischen Wissenschaften)

Synopsis

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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Synopsis

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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Saff Edward Totik Vilmos
Published by Springer, 1997
ISBN 10: 3540570780 ISBN 13: 9783540570783
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Edward Saff Vilmos Totik
Published by Springer, 1997
ISBN 10: 3540570780 ISBN 13: 9783540570783
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Saff Edward Totik Vilmos
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Published by Springer, 1997
ISBN 10: 3540570780 ISBN 13: 9783540570783
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Vilmos Totik, Edward B. Saff
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ISBN 10: 3540570780 ISBN 13: 9783540570783
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Saff, Edward B.; Totik, Vilmos
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