| 期刊全称 | Basic Oka Theory in Several Complex Variables | | 影响因子2023 | Junjiro Noguchi | | 视频video | | | 发行地址 | Serves as a textbook in lecture courses of function theory of several complex variables right after one variable.Is based on Oka’s first coherence theorem and the Joku-Iko Principle.Proves Levi‘s prob | | 学科分类 | Universitext | | 图书封面 |  | | 影响因子 | .This book provides a new, comprehensive, and self-contained account of Oka theory as an introduction to function theory of several complex variables, mainly concerned with the Three Big Problems (Approximation, Cousin, Pseudoconvexity) that were solved by Kiyoshi Oka and form the basics of the theory. The purpose of the volume is to serve as a textbook in lecture courses right after complex function theory of one variable. The presentation aims to be readable and enjoyable both for those who are beginners in mathematics and for researchers interested in complex analysis in several variables and complex geometry...The nature of the present book is evinced by its approach following Oka’s unpublished five papers of 1943 with his guiding methodological principle termed the “Joku-Iko Principle”, where historically the Pseudoconvexity Problem (Hartogs, Levi) was first solved in all dimensions, even for unramified Riemann domains as well...The method that is used in the book is elementary and direct, not relying on the cohomology theory of sheaves nor on the .L.2-∂-bar method, but yet reaches the core of the theory with the complete proofs...Two proofs for Levi’s Problem are provided: On | | Pindex | Textbook 2024 |
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发表于 2025-3-21 16:12:17
