| 书目名称 | Methods of Geometric Analysis in Extension and Trace Problems |
| 副标题 | Volume 1 |
| 编辑 | Alexander Brudnyi,Yuri Brudnyi |
| 视频video | |
| 概述 | Covers the development of the area from the first half of the 20th century to the last decade.Well suited for self-study.Necessary facts presented mostly with detailed proofs.Includes supplementary ma |
| 丛书名称 | Monographs in Mathematics |
| 图书封面 |  |
| 描述 | The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial classical works of the first half of the 20th century to the flourishing period of the last decade. Seemingly very specific these problems have been from the very beginning a powerful source of ideas, concepts and methods that essentially influenced and in some cases even transformed considerable areas of analysis. Aside from the material linked by the aforementioned problems the book also is unified by geometric analysis approach used in the proofs of basic results. This requires a variety of geometric tools from convex and combinatorial geometry to geometry of metric space theory to Riemannian and coarse geometry and more. The necessary facts are presented mostly with detailed proofs to make thebook accessible to a wide audience. |
| 出版日期 | Book 2012 |
| 关键词 | geometric analysis; metric space theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-0209-3 |
| isbn_softcover | 978-3-0348-0338-0 |
| isbn_ebook | 978-3-0348-0209-3Series ISSN 1017-0480 Series E-ISSN 2296-4886 |
| issn_series | 1017-0480 |
| copyright | Springer Basel AG 2012 |
发表于 2025-3-21 18:55:45
