| 书目名称 | Logarithmic Potentials with External Fields |
| 编辑 | Edward B. Saff,Vilmos Totik |
| 视频video | |
| 概述 | This book is devoted to the systematic mathematical study of the equilibrium problem of potential theory under the influence of an external field; as well as to its many-fold applications..The present |
| 丛书名称 | Grundlehren der mathematischen Wissenschaften |
| 图书封面 |  |
| 描述 | In recent years approximation theory and the theory of orthogonal polynomials have witnessed a dramatic increase in the number of solutions of difficult and previously untouchable problems. This is due to the interaction of approximation theoretical techniques with classical potential theory (more precisely, the theory of logarithmic potentials, which is directly related to polynomials and to problems in the plane or on the real line). Most of the applications are based on an exten sion of classical logarithmic potential theory to the case when there is a weight (external field) present. The list of recent developments is quite impressive and includes: creation of the theory of non-classical orthogonal polynomials with re spect to exponential weights; the theory of orthogonal polynomials with respect to general measures with compact support; the theory of incomplete polynomials and their widespread generalizations, and the theory of multipoint Pade approximation. The new approach has produced long sought solutions for many problems; most notably, the Freud problems on the asymptotics of orthogonal polynomials with a respect to weights of the form exp(-Ixl ); the "l/9-th" conjectu |
| 出版日期 | Book 19971st edition |
| 关键词 | Potential; Potential theory; analysis; approximation theory; capacity; external fields; extremal points; ex |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-03329-6 |
| isbn_softcover | 978-3-642-08173-6 |
| isbn_ebook | 978-3-662-03329-6Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
| issn_series | 0072-7830 |
| copyright | Springer-Verlag Berlin Heidelberg 1997 |
发表于 2025-3-21 16:58:43
