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OverviewThis 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 DetailsAuthor: Edward B. Saff , Vilmos TotikPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of hardcover 1st ed. 1997 Volume: 316 Dimensions: Width: 15.50cm , Height: 2.70cm , Length: 23.50cm Weight: 0.801kg ISBN: 9783642081736ISBN 10: 3642081738 Pages: 505 Publication Date: 08 December 2010 Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Professional & Vocational Replaced By: 9783031651328 Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsPreliminaries.- 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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