On Bogolyubov's ``edge of the wedge'' theorem (Q2714699)
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scientific article; zbMATH DE number 1607182
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Bogolyubov's ``edge of the wedge'' theorem |
scientific article; zbMATH DE number 1607182 |
Statements
20 June 2001
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edge-of-the-wedge theorem
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Carleman operator
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CR-extension
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separate analyticity
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harmonic measure
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On Bogolyubov's ``edge of the wedge'' theorem (English)
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The author considers a ``one-sided'' version of the Bogolyubov's ``edge-of-the-wedge'' theorem. The results are closely connected in their nature with the generalizations of the ``edge-of-the-wedge'' theorem due to Malgrange and Zerner and, on the other hand, with the theorems on separate analyticity going back to Bernstein and established by Sičiak in the general form. The approach to the problems under consideration is based upon classical ideas and results due to Nevanlinna and Carleman and is related to the concept of harmonic measure.NEWLINENEWLINEFor the entire collection see [Zbl 0952.00070].
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