| 书目名称 | Topics in Hardy Classes and Univalent Functions | | 编辑 | Marvin Rosenblum,James Rovnyak | | 视频video | | | 丛书名称 | Birkhäuser Advanced Texts‘ Basler Lehrbücher | | 图书封面 |  | | 描述 | These notes are based on lectures given at the University of Virginia over the past twenty years. They may be viewed as a course in function theory for nonspecialists. Chapters 1-6 give the function-theoretic background to Hardy Classes and Operator Theory, Oxford Mathematical Monographs, Oxford University Press, New York, 1985. These chapters were written first, and they were origi nally intended to be a part of that book. Half-plane function theory continues to be useful for applications and is a focal point in our account (Chapters 5 and 6). The theory of Hardy and Nevanlinna classes is derived from proper ties of harmonic majorants of subharmonic functions (Chapters 3 and 4). A selfcontained treatment of harmonic and subharmonic functions is included (Chapters 1 and 2). Chapters 7-9 present concepts from the theory of univalent functions and Loewner families leading to proofs of the Bieberbach, Robertson, and Milin conjectures. Their purpose is to make the work of de Branges accessible to students of operator theory. These chapters are by the second author. There is a high degree of independence in the chapters, allowing the material to be used in a variety of ways. For examp | | 出版日期 | Textbook 1994 | | 关键词 | Algebra; Blaschke product; Complex analysis; Finite; Morphism; Nevanlinna theory; Operator theory; Poisson | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-8520-1 | | isbn_softcover | 978-3-0348-9662-7 | | isbn_ebook | 978-3-0348-8520-1Series ISSN 1019-6242 Series E-ISSN 2296-4894 | | issn_series | 1019-6242 | | copyright | Springer Basel AG 1994 |
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发表于 2025-3-21 16:36:18
