Geometric Analysis of the Bergman Kernel and Metric
- 種類:
- 電子ブック
- 責任表示:
- by Steven G. Krantz
- 出版情報:
- New York, NY : Springer New York : Imprint: Springer, 2013
- 著者名:
- シリーズ名:
- Graduate Texts in Mathematics ; 268
- ISBN:
- 9781461479246 [146147924X]
- 注記:
- 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
- ローカル注記:
- 学内専用E-BOOKS (local access only)
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