<電子ブック>
Harmonic Function Theory / by Sheldon Axler, Paul Bourdon, Ramey Wade
(Graduate Texts in Mathematics. ISSN:21975612 ; 137)
版 | 2nd ed. 2001. |
---|---|
出版者 | (New York, NY : Springer New York : Imprint: Springer) |
出版年 | 2001 |
本文言語 | 英語 |
大きさ | XII, 264 p : online resource |
著者標目 | *Axler, Sheldon author Bourdon, Paul author Wade, Ramey author SpringerLink (Online service) |
件 名 | LCSH:Potential theory (Mathematics) FREE:Potential Theory |
一般注記 | Basic Properties of Harmonic Functions -- Bounded Harmonic Functions -- Positive Harmonic Functions -- The Kelvin Transform -- Harmonic Polynomials -- Harmonic Hardy Spaces -- Harmonic Functions on Half-Spaces -- Harmonic Bergman Spaces -- The Decomposition Theorem -- Annular Regions -- The Dirichlet Problem and Boundary Behavior This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate concepts and simplify proofs. Topics include: basic properties of harmonic functions, Poisson integrals, the Kelvin transform, spherical harmonics, harmonic Hardy spaces, harmonic Bergman spaces, the decomposition theorem, Laurent expansions, isolated singularities, and the Dirichlet problem. The new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bocher's Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package-designed by the authors and available by e-mail - supplements the text for readers who wish to explore harmonic function theory on a computer HTTP:URL=https://doi.org/10.1007/978-1-4757-8137-3 |
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 | 9781475781373 |
|
電子リソース |
|
EB00234189 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA404.7-405 DC23:515.96 |
書誌ID | 4000107198 |
ISBN | 9781475781373 |
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:5回
※2017年9月4日以降