| 书目名称 | Logarithmic Potentials with External Fields |
| 编辑 | Edward B. Saff,Vilmos Totik |
| 视频video | |
| 概述 | Extends classical logarithmic potential theory to situations where an external field is present.Provides a wealth of examples and applications of extremal problems with weighted energy integrals.Prese |
| 丛书名称 | Grundlehren der mathematischen Wissenschaften |
| 图书封面 |  |
| 描述 | .This is the second edition of an influential monograph on logarithmic potentials with external fields, incorporating some of the numerous advancements made since the initial publication...As the title implies, the book expands the classical theory of logarithmic potentials to encompass scenarios involving an external field. This external field manifests as a weight function in problems dealing with energy minimization and its associated equilibria. These weighted energies arise in diverse applications such as the study of electrostatics problems, orthogonal polynomials, approximation by polynomials and rational functions, as well as tools for analyzing the asymptotic behavior of eigenvalues for random matrices, all of which are explored in the book. The theory delves into diverse properties of the extremal measure and its logarithmic potentials, paving the way for various numerical methods...This new, updated edition has been thoroughly revised and is reorganized into three parts, Fundamentals, Applications and Generalizations, followed by the Appendices. Additions to the new edition include:.. .new material on the following topics: analytic and .C.² weights, differential and inte |
| 出版日期 | Book 2024Latest edition |
| 关键词 | Potential theory; logarithmic potentials; approximation theory; capacity; external fields; extremal point |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-031-65133-5 |
| isbn_ebook | 978-3-031-65133-5Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
| issn_series | 0072-7830 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 18:31:22
