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Book Cover
Author Dineen, Seán, 1944-

Title The Schwarz Lemma [electronic resource] / Sean Dineen.

Publication Info. [Place of publication not identified] : Dover Publications, [2016]


Description 1 online resource (256 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
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Summary The Schwarz lemma is among the simplest results in complex analysis that capture the rigidity of holomorphic functions. This self-contained volume provides a thorough overview of the subject; it assumes no knowledge of intrinsic metrics and aims for the main results, introducing notation, secondary concepts, and techniques as necessary. Suitable for advanced undergraduates and graduate students of mathematics, the two-part treatment covers basic theory and applications. Starting with an exploration of the subject in terms of holomorphic and subharmonic functions, the treatment proves a Schwarz lemma for plurisubharmonic functions and discusses the basic properties of the Poincaré distance and the Schwarz-Pick systems of pseudodistances. Additional topics include hyperbolic manifolds, special domains, pseudometrics defined using the (complex) Green function, holomorphic curvature, and the algebraic metric of Harris. The second part explores fixed point theorems and the analytic Radon-Nikodym property.
System Details System requirements: Adobe Digital editions.
Note Print version record.
Access Digital content provided by Freading Ebook Service.
Subject Mathematical analysis.
Holomorphic functions.
Subharmonic functions.
Genre/Form Electronic books.
Added Author Freading (Firm)
Other Form: Print version: Dineen, Seán, 1944- Schwarz lemma / Mineola, New York : Dover Publications, 2016. 9780486801209 (DLC)2015037286
ISBN 9780486810973 (e-pub)
Standard No. 9780486810973

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