Fonctions séparément analytiques. (Separately analytic functions) (Q1824051)
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scientific article; zbMATH DE number 4116859
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fonctions séparément analytiques. (Separately analytic functions) |
scientific article; zbMATH DE number 4116859 |
Statements
Fonctions séparément analytiques. (Separately analytic functions) (English)
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1990
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In this paper we study the functions of two real variables which are separately real-analytic. We prove that they are jointly analytic at every point except on a closed set whose projections over both axes are polar. Conversely, for any such closed set F we provide a separately analytic function whose domain of analyticity is the complement of F.
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logarithmic capacity
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polar sets
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separately real-analytic
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jointly analytic
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separately analytic function
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domain of analyticity
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