Invariant distances and metrics in complex analysis
By: Marek Jarnicki, Peter Pflug
Contributors: Pflug, Peter, 1943-
Edition: 2nd extended edition.
Series: De Gruyter expositions in mathematics -- 9
Publisher: De Gruyter
Published: 2013
Place of publication: Berlin
Language: eng
Number of pages: 861
ISBN-13: 9783110250435; 9783110253863; 9783112188309
Copyright date: 2013
Subjects: Metric spaces; Pseudodistances; Invariants; Functions of complex variables
Description: "As in the field of "Invariant Distances and Metrics in Complex Analysis" there was and is a continuous progress this is now the second extended edition of the corresponding monograph. This comprehensive book is about the study of invariant pseudodistances (non-negative functions on pairs of points) and pseudometrics (non-negative functions on the tangent bundle) in several complex variables. It is an overview over a highly active research area at the borderline between complex analysis, functional analysis and differential geometry. New chapters are covering the Wu, Bergman and several other metrics. The book considers only domains in Cn and assumes a basic knowledge of several complex variables. It is a valuable reference work for the expert but is also accessible to readers who are knowledgeable about several complex variables." -- Publisher website.
Notes: Includes bibliographical references (pages 814-843) and index.