<電子ブック>
Geometric Analysis of the Bergman Kernel and Metric / by Steven G. Krantz
(Graduate Texts in Mathematics. ISSN:21975612 ; 268)
版 | 1st ed. 2013. |
---|---|
出版者 | New York, NY : Springer New York : Imprint: Springer |
出版年 | 2013 |
本文言語 | 英語 |
大きさ | XIII, 292 p. 7 illus : online resource |
著者標目 | *Krantz, Steven G author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Differential equations LCSH:Functional analysis LCSH:Geometry, Differential FREE:Analysis FREE:Differential Equations FREE:Functional Analysis FREE:Differential Geometry |
一般注記 | Preface -- 1. Introductory Ideas -- 2. The Bergman Metric -- 3. Geometric and Analytic Ideas -- 4. Partial Differential Equations -- 5. Further Geometric Explorations -- 6. Additional Analytic Topics -- 7. Curvature of the Bergman Metric -- 8. Concluding Remarks -- Table of Notation -- Bibliography -- Index 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 differential geometry will also benefit from the thorough treatment of the many exciting aspects of Bergman's theory HTTP:URL=https://doi.org/10.1007/978-1-4614-7924-6 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9781461479246 |
|
電子リソース |
|
EB00234481 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000117760 |
ISBN | 9781461479246 |
類似資料
この資料の利用統計
このページへのアクセス回数:2回
※2017年9月4日以降