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Boundary uniqueness theorems for analytic functions of several complex variables

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Title: Boundary uniqueness theorems for analytic functions of several complex variables
Authors: Ehminyan, O. M.
Publisher Information: American Mathematical Society (AMS), Providence, RI
Subject Terms: 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
Description: 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.
Document Type: Article
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Access URL: https://zbmath.org/4044201
Accession Number: edsair.c2b0b933574d..bc5d7a8ab8c8ccbb8f792d48bef8fe2d
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  Data: Boundary uniqueness theorems for analytic functions of several complex variables
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  Data: <searchLink fieldCode="AR" term="%22Ehminyan%2C+O%2E+M%2E%22">Ehminyan, O. M.</searchLink>
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  Data: American Mathematical Society (AMS), Providence, RI
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22uniqueness+theorem+of+Bagemihl%22">uniqueness theorem of Bagemihl</searchLink><br /><searchLink fieldCode="DE" term="%22Global+boundary+behavior+of+holomorphic+functions+of+several+complex+variables%22">Global boundary behavior of holomorphic functions of several complex variables</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems+in+the+complex+plane%22">Boundary value problems in the complex plane</searchLink><br /><searchLink fieldCode="DE" term="%22Other+generalizations+of+function+theory+of+one+complex+variable%22">Other generalizations of function theory of one complex variable</searchLink><br /><searchLink fieldCode="DE" term="%22boundary+behaviour%22">boundary behaviour</searchLink><br /><searchLink fieldCode="DE" term="%22maximality+theorem+of+Collingwood%22">maximality theorem of Collingwood</searchLink>
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  Data: 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.
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    Subjects:
      – SubjectFull: uniqueness theorem of Bagemihl
        Type: general
      – SubjectFull: Global boundary behavior of holomorphic functions of several complex variables
        Type: general
      – SubjectFull: Boundary value problems in the complex plane
        Type: general
      – SubjectFull: Other generalizations of function theory of one complex variable
        Type: general
      – SubjectFull: boundary behaviour
        Type: general
      – SubjectFull: maximality theorem of Collingwood
        Type: general
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      – TitleFull: Boundary uniqueness theorems for analytic functions of several complex variables
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