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Bull. Korean Math. Soc. 2008; 45(3): 523-561
Printed September 1, 2008
Copyright © The Korean Mathematical Society.
Complex scaling and geometric analysis of several variables
Kang-Tae Kim and Steven G. Krantz
Pohang University of Science and Technology, American Institute of Mathematics
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, pseudoconvexity, finite type, isotropy group, orbit, domain
MSC numbers: Primary 32M05; Secondary 32M17, 32M25, 32E05, 32E40, 32T05, 32T25
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