| 書(shū)目名稱 | Geometric Analysis of the Bergman Kernel and Metric | | 編輯 | Steven G. Krantz | | 視頻video | http://file.papertrans.cn/384/383453/383453.mp4 | | 概述 | Several topics are presented for the first time in book form.Textbook for graduate students that will also benefit seasoned researchers in mathematics.Includes illustrative examples and carefully chos | | 叢書(shū)名稱 | Graduate Texts in Mathematics | | 圖書(shū)封面 |  | | 描述 | This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman‘s classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, and asymptotic expansion of the Bergman kernel and metric. Moreover, it presents a unique compendium of results with applications to function theory, geometry, partial differential equations, and interpretations in the language of functional analysis, with emphasis on the several complex variables context. Several of these topics appear here for the first time in book form. Each chapter includes illustrative examples and a collection of exercises which will be of interest to both graduate students and experienced mathematicians..Graduate students who have taken courses in complex variables.and have a basic background in real and functional analysis will find this textbook appealing. Applicable courses for either main or supplementary usage include those in complex variables, several complex variables, complex differential geometry, and partial differential equations. Researchers in complex analysis, harmonic analysis, PDEs, and complex d | | 出版日期 | Textbook 2013 | | 關(guān)鍵詞 | Bergman kernel; Bergman metric; Bergman theory; applications to Bergman; holomorphic mapping; integral fo | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4614-7924-6 | | isbn_softcover | 978-1-4939-4429-3 | | isbn_ebook | 978-1-4614-7924-6Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 2013 |
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