| 期刊全称 | Analytic Continuation and q-Convexity | | 影响因子2023 | Takeo Ohsawa,Thomas Pawlaschyk | | 视频video | | | 发行地址 | Shows how generalized pseudoconvexity attracted increasing interest in the analysis of several complex variables.Is one of the few monographs dealing with q-convexity in the sense of Grauert.Combines | | 学科分类 | SpringerBriefs in Mathematics | | 图书封面 |  | | 影响因子 | .The focus of this book is on the further development of the classical achievements in analysis of several complex variables, the analytic continuation and the analytic structure of sets, to settings in which the .q-.pseudoconvexity in the sense of Rothstein and the .q-.convexity in the sense of Grauert play a crucial role. After giving a brief survey of notions of generalized convexity and their most important results, the authors present recent statements on analytic continuation related to them. .Rothstein (1955) first introduced .q-.pseudoconvexity using generalized Hartogs figures. Słodkowski (1986) defined .q-.pseudoconvex sets by means of the existence of exhaustion functions which are .q-.plurisubharmonic in the sense of Hunt and Murray (1978). Examples of .q-.pseudoconvex sets appear as complements of analytic sets. Here, the relation of the analytic structure of graphs of continuous surfaces whose complements are .q-.pseudoconvex is investigated. As an outcome, the authors generalize results by Hartogs (1909), Shcherbina (1993), and Chirka (2001) on the existence of foliations of pseudoconcave continuous real hypersurfaces by smooth complex ones. ..A similar generalizat | | Pindex | Book 2022 |
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发表于 2025-3-21 16:41:00
