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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao zbMATH Openarrow_drop_down
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Boundary uniqueness theorems for analytic functions of several complex variables

descriptionPublicationkeyboard_double_arrow_right Article Publisher:American Mathematical Society (AMS), Providence, RI
Authors: Ehminyan, O. M.;

Boundary uniqueness theorems for analytic functions of several complex variables

Abstract

Vorliegende Arbeit beschäftigt sich mit dem Einfluß der Randwerte von auf dem Einheitspolyzylinder holomorphen Funktionen auf die Funktionen selbst. Genauer: es werden die Eindeutigkeitssätze von \textit{E. F. Collingwood} [Acta Math. 91, 165-185 (1954; Zbl 0057.060)] und \textit{F. Bagemihl} [Math. Z. 149, 247-248 (1976; Zbl 0318.30032)] auf die Situation des Einheitspolyzylinders im \({\mathbb{C}}^ n \)und von Produktrandkurven verallgemeinert.

Keywords

uniqueness theorem of Bagemihl, Global boundary behavior of holomorphic functions of several complex variables, Boundary value problems in the complex plane, Other generalizations of function theory of one complex variable, boundary behaviour, maximality theorem of Collingwood

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