| 书目名称 | Complex Convexity and Analytic Functionals |
| 编辑 | Mats Andersson,Ragnar Sigurdsson,Mikael Passare |
| 视频video | |
| 概述 | The topic of complex convexity is a fascinating blend, exhibiting a profound interplay between geometry, topology and analysis.Gives the first comprehensive account of the theory, as well as its appli |
| 丛书名称 | Progress in Mathematics |
| 图书封面 |  |
| 描述 | .A set in complex Euclidean space is called .C.-convex if all its intersections with complex lines are contractible, and it is said to be linearly convex if its complement is a union of complex hyperplanes. These notions are intermediates between ordinary geometric convexity and pseudoconvexity. Their importance was first manifested in the pioneering work of André Martineau from about forty years ago. Since then a large number of new related results have been obtained by many different mathematicians. The present book puts the modern theory of complex linear convexity on a solid footing, and gives a thorough and up-to-date survey of its current status. Applications include the Fantappié transformation of analytic functionals, integral representation formulas, polynomial interpolation, and solutions to linear partial differential equations.. |
| 出版日期 | Book 2004 |
| 关键词 | Pseudoconvexity; analytic function; differential equation; partial differential equation; partial differ |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-7871-5 |
| isbn_softcover | 978-3-0348-9605-4 |
| isbn_ebook | 978-3-0348-7871-5Series ISSN 0743-1643 Series E-ISSN 2296-505X |
| issn_series | 0743-1643 |
| copyright | Springer Basel AG 2004 |
发表于 2025-3-21 19:22:06
