书目名称 | Holomorphic Function Theory in Several Variables |
副标题 | An Introduction |
编辑 | Christine Laurent-Thiébaut |
视频video | |
概述 | Provides a careful introduction to complex analysis in several variables.Each chapter begins with a detailed abstract, clearly demonstrating its organization and relations with the following chapters. |
丛书名称 | Universitext |
图书封面 |  |
描述 | .This book provides an introduction to complex analysis in several variables. The viewpoint of integral representation theory together with Grauert‘s bumping method offers a natural extension of single variable techniques to several variables analysis and leads rapidly to important global results. Applications focus on global extension problems for CR functions, such as the Hartogs-Bochner phenomenon and removable singularities for CR functions. Three appendices on differential manifolds, sheaf theory and functional analysis make the book self-contained...Each chapter begins with a detailed abstract, clearly demonstrating the structure and relations of following chapters. New concepts are clearly defined and theorems and propositions are proved in detail. Historical notes are also provided at the end of each chapter...Clear and succinct, this book will appeal to post-graduate students, young researchers seeking an introduction to holomorphic function theory in several variables and lecturers seeking a concise book on the subject.. |
出版日期 | Textbook 2011 |
关键词 | Extension of CR functions; Integral formulas; Levi problem; Several complex variables |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-85729-030-4 |
isbn_softcover | 978-0-85729-029-8 |
isbn_ebook | 978-0-85729-030-4Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
issn_series | 0172-5939 |
copyright | Springer-Verlag London Limited 2011 |