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Titlebook: Composition Operators; and Classical Functi Joel H. Shapiro Textbook 1993 Springer Science+Business Media New York 1993 Complex analysis.De

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发表于 2025-3-21 18:35:14 | 显示全部楼层 |阅读模式
书目名称Composition Operators
副标题and Classical Functi
编辑Joel H. Shapiro
视频videohttp://file.papertrans.cn/232/231843/231843.mp4
丛书名称Universitext
图书封面Titlebook: Composition Operators; and Classical Functi Joel H. Shapiro Textbook 1993 Springer Science+Business Media New York 1993 Complex analysis.De
描述The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from analytic-function theory. The process invests old theorems with new mean­ ings, and bestows upon functional analysis an intriguing class of concrete linear operators. Best of all, the subject can be appreciated by anyone with an interest in function theory or functional analysis, and a background roughly equivalent to the following twelve chapters of Rudin‘s textbook Real and Complex Analysis [Rdn ‘87]: Chapters 1-7 (measure and integra­ tion, LP spaces, basic Hilbert and Banach space theory), and 10-14 (basic function theory through the Riemann Mapping Theorem). In this book I introduce the reader to both the theory of composition operators, and the classical results that form its infrastructure. I develop the subject in a way that emphasizes its geometric content, staying as much as possible within the prerequisites set out in the twelve fundamental chapters of Rudin‘s book. Although much of the material on operators is quite recent, this book is not intended to be an exhaustive survey. It is, quite simply, an invitation to join in the
出版日期Textbook 1993
关键词Complex analysis; Derivative; Hilbert space; Schwarz lemma; compactness; differential equation
版次1
doihttps://doi.org/10.1007/978-1-4612-0887-7
isbn_softcover978-0-387-94067-0
isbn_ebook978-1-4612-0887-7Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer Science+Business Media New York 1993
The information of publication is updating

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Bestimmung der Gleichgewichtsverteilung, mappings that take the unit disc into itself provide a class of tractable examples diverse enough to reflect much of the character of more general situations. In fact, the Linear Fractional Model Theorem proclaims that . self-map of the disc is conjugate (in a sense to be made precise in Chapters 6 and 8) to a linear fractional map.
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Die Maxwell-Boltzmann-Verteilungr proof of Littlewood’s Theorem, so in this chapter the first order of business has to be:.Given what we have already done, it should come as no surprise that everything will depend on getting the “right” representation of the .. norm.
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Statistische Gesamtheiten des Gleichgewichtsakes place in Chapters 7 and 8. Right now, however, we intend to emphasize function theory, employing the methods developed for our theory of the angular derivative to study the dynamics of . As you might guess, our work will spin off consequences for the compactness problem.
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Linear Fractional Prologue, mappings that take the unit disc into itself provide a class of tractable examples diverse enough to reflect much of the character of more general situations. In fact, the Linear Fractional Model Theorem proclaims that . self-map of the disc is conjugate (in a sense to be made precise in Chapters 6 and 8) to a linear fractional map.
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