| 书目名称 | Multidimensional Integral Representations | | 副标题 | Problems of Analytic | | 编辑 | Alexander M. Kytmanov,Simona G. Myslivets | | 视频video | | | 概述 | Summarizes recent results on integral representations and residues.Includes studies on different families of complex lines and curves sufficient for holomorphic continuation of functions from the boun | | 图书封面 |  | | 描述 | The monograph is devoted to integral representations for holomorphic functions in several complex variables, such as Bochner-Martinelli, Cauchy-Fantappiè, Koppelman, multidimensional logarithmic residue etc., and their boundary properties. The applications considered are problems of analytic continuation of functions from the boundary of a bounded domain in C^n. In contrast to the well-known Hartogs-Bochner theorem, this book investigates functions with the one-dimensional property of holomorphic extension along complex lines, and includes the problems of receiving multidimensional boundary analogs of the Morera theorem. This book is a valuable resource for specialists in complex analysis, theoretical physics, as well as graduate and postgraduate students with an understanding of standard university courses in complex, real and functional analysis, as well as algebra and geometry. | | 出版日期 | Book 2015 | | 关键词 | Bochner-Martinelli integral; analytic continuation; boundary Morera theorem; boundary values of integra | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-21659-1 | | isbn_softcover | 978-3-319-37400-0 | | isbn_ebook | 978-3-319-21659-1 | | copyright | Springer International Publishing Switzerland 2015 |
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发表于 2025-3-21 18:30:10
