COMPLEX SCALING AND GEOMETRIC ANALYSIS OF SEVERAL VARIABLES

Title & Authors
COMPLEX SCALING AND GEOMETRIC ANALYSIS OF SEVERAL VARIABLES
Kim, Kang-Tae; Krantz, Steven G.;

Abstract
The purpose of this paper is to survey the use of the important method of scaling in analysis, and particularly in complex analysis. Applications are given to the study of automorophism groups, to canonical kernels, to holomorphic invariants, and to analysis in infinite dimensions. Current research directions are described and future paths indicated.
Keywords
automorphism group;scaling;pseudo convexity;finite type;isotropy group;orbit;domain;
Language
English
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Integrable Submanifolds in Almost Complex Manifolds, Journal of Geometric Analysis, 2010, 20, 1, 177
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The automorphism groups of domains in complex space: a survey, Quaestiones Mathematicae, 2013, 36, 2, 225
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