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Geometric function theory in several complex variables / Junjiro Noguchi, Takushiro Ochiai

Auteur principal : Noguchi, Junjiro, 1948-, AuteurCo-auteur : Ochiai, Takushiro, 1943-, AuteurType de document : MonographieCollection : Translations of mathematical monographs, 80Langue : anglais.Pays : Etats Unis.Éditeur : Providence : American Mathematical Society, 1990Description : 1 vol. (XI-282 p.) ; 24 cmISBN : 0821845330.ISSN : 0065-9282.Bibliographie : Bibliogr. p. 267-273. Index.Sujet MSC : 32F45, Geometric convexity in several complex variables, Invariant metrics and pseudodistances in several complex variables
32C30, Several complex variables and analytic spaces - Analytic spaces, Integration on analytic sets and spaces, currents
32Q45, Several complex variables and analytic spaces - Complex manifolds, Hyperbolic and Kobayashi hyperbolic manifolds
32A22, Holomorphic functions of several complex variables, Nevanlinna theory; growth estimates; other inequalities
En-ligne : Zentralblatt | MathSciNet | AMS
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Bibliogr. p. 267-273. Index

This is an expanded English-language version of a book by the same authors that originally appeared in the Japanese. The book serves two purposes. The first is to provide a self-contained and coherent account of recent developments in geometric function theory in several complex variables, aimed at those who have already mastered the basics of complex function theory and the elementary theory of differential and complex manifolds. The second goal is to present, in a self-contained way, fundamental descriptions of the theory of positive currents, plurisubharmonic functions, and meromorphic mappings, which are today indispensable in the analytic and geometric theories of complex functions of several variables. The book should prove useful for researchers and graduate students alike. (source : AMS)

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