The Schwarz Lemma (Dover Books on Mathematics) by Sean Dineen (PDF)

5

 

Ebook Info

  • Published: 2016
  • Number of pages: 256 pages
  • Format: PDF
  • File Size: 9.66 MB
  • Authors: Sean Dineen

Description

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.

User’s Reviews

Keywords

Free Download The Schwarz Lemma (Dover Books on Mathematics) in PDF format
The Schwarz Lemma (Dover Books on Mathematics) PDF Free Download
Download The Schwarz Lemma (Dover Books on Mathematics) 2016 PDF Free
The Schwarz Lemma (Dover Books on Mathematics) 2016 PDF Free Download
Download The Schwarz Lemma (Dover Books on Mathematics) PDF
Free Download Ebook The Schwarz Lemma (Dover Books on Mathematics)

Previous articleAlgebraic Numbers and Harmonic Analysis by Y. Meyer (PDF)
Next articleSets and Proofs (London Mathematical Society Lecture Note Series Book 258) 1st Edition by S. Barry Cooper (PDF)