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Peter V. Dovbush

Peter V. Dovbush is an Associate Professor and Leading Researcher at the Institute of Mathematics and Computer Science of Moldova State University, Moldova. His research interests lie on the geometric theory of functions of several complex variables.



Steven G. Krantz earned his B.A. from the University of California at Santa Cruz (1971) and his PhD from Princeton University, USA (1974). With teaching periods at UCLA, Princeton, Penn State, and Washington University in St. Louis, he chaired the latter's mathematics department for five years. Dr. Krantz has authored or co-authored over 160 books and 350 scholarly papers, and he has edited numerous journals. His contributions to mathematics have earned him awards such as the Chauvenet Prize, the Beckenbach Book Award, and the Kemper Prize.

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The Geometric Theory of Complex Variables

Peter V. Dovbush

- Introduction.- The Riemann Mapping Theorem.- The Ahlfors Map.- A Riemann Mapping Theorem for Two-Connected Domains in the Plane.- Riemann Multiply Connected Domains.- Quasiconformal Mappings.- Manifolds.- Riemann Surfaces.- The Uniformization Theorem.- Automorphism Groups.- Ridigity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary.- The Schwarz Lemma and Its Generalizations.- Invariant Distances on Complex Manifolds.- Hyperbolic Manifolds.- The Fatou Theory and Related Matters.- The Theorem of Bun Wong and...
Format
E-Book
Erscheinung
28.01.2025
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€213,99
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Cover: The Geometric Theory of Complex Variables (E-Book) von Peter V. Dovbush