书目名称 | Harmonic Function Theory | 编辑 | Sheldon Axler,Paul Bourdon,Wade Ramey | 视频video | | 丛书名称 | Graduate Texts in Mathematics | 图书封面 |  | 描述 | 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. | 出版日期 | Textbook 2001Latest edition | 关键词 | Harmonic Function Theory; Harmonic Functions; Complex analysis; integral; integration; Poisson integral | 版次 | 2 | doi | https://doi.org/10.1007/978-1-4757-8137-3 | isbn_ebook | 978-1-4757-8137-3Series ISSN 0072-5285 Series E-ISSN 2197-5612 | issn_series | 0072-5285 | copyright | Springer Science+Business Media New York 2001 |
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