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 ...
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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 Poincar??? 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.
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Add this copy of The Schwarz Lemma (Oxford Mathematical Monographs) to cart. $105.77, very good condition, Sold by Fireside Bookshop rated 5.0 out of 5 stars, ships from Stroud, GLOUCESTERSHIRE, UNITED KINGDOM, published 1990 by Clarendon Press.
Add this copy of The Schwarz Lemma (Oxford Mathematical Monographs) to cart. $337.69, fair condition, Sold by Once Upon A Time Books rated 2.0 out of 5 stars, ships from Tontitown, AR, UNITED STATES, published 1990 by Clarendon Press.
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Fair. This is a used book. It may contain highlighting/underlining and/or the book may show heavier signs of wear. It may also be ex-library or without dustjacket. This is a used book. It may contain highlighting/underlining and/or the book may show heavier signs of wear. It may also be ex-library or without dustjacket.
