Marek Jarnicki, Peter Pflug

Invariant Distances and Metrics in Complex Analysis (eBook, PDF)

• Format: PDF

Produktbeschreibung

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject.

Editorial Board

Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil
Walter D. Neumann, Columbia University, New York, USA
Markus J. Pflaum, University of Colorado, Boulder, USA
Dierk Schleicher, Aix-Marseille Université, France
Katrin Wendland, Trinity College Dublin, Dublin, Ireland

Honorary Editor

Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia

Titles in planning include

Yuri A. Bahturin, Identical Relations in Lie Algebras (2019)
Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019)
Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019)
Volker Mayer, Mariusz Urbanski, and Anna Zdunik, Random and Conformal Dynamical Systems (2021)
Ioannis Diamantis, BoStjan GabrovSek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

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Produktdetails

• Verlag: De Gruyter
• Seitenzahl: 419
• Erscheinungstermin: 3. Mai 2011
• Englisch
• ISBN-13: 9783110870312
• Artikelnr.: 53091846

Autorenporträt

Marek Jarnicki, Jagiellonian University, Krakow, Poland; Peter Pflug, Carl von Ossietzky Universität, Oldenburg, Germany.

Rezensionen

"This is a comprehensive and beautifully written book about the study of invariant pseudodistances (nonnegative functions on pairs of points) and pseudometrics (nonnegative functions on the tangent bundle) in several complex variables. [...] It will be a valuable reference work for the expert but is also accessible to readers who are knowledgeable about several complex variables. There are exercises at the end of each chapter, and unsolved problems are indicated throughout the text. The authors have been highly successful in giving a rigorous but readable account of the main lines of development in this area." Mathematical Reviews (review of the first edition)

"I warmly recommend this monograph, which according to the authors "present[s] a systematic study of invariant pseudodistances and their infinitesimal counterparts". It is a valuable work for the expert, but it is also accessible to readers who are knowledgeable about several complex variables." Mathematical Reviews

"This new extended version is a comprehensive and beautifully-written book and covers more than twice the material in the old one. [...] The authors have been highly successful in achieving the main goal of the book, which was, according to their own words, "to present a systematic study of invariant pseudodistances and their infinitesimal counterparts". Moreover, they were able to do that combining great precision of reasoning with highest level of readability." Zentralblatt für Mathematik