A Multidimensional Version of Levin's Secular Constant Theorem and its Applications
We study holomorphic almost periodic functions on a tube domain with the spectrum in a cone. We extend to this case Levin's theorem on a connection between the Jessen function, secular constant, and the Phragmen-Lindeloof indicator. Then we obtain a multidimensional version of Picard's the...
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| Date: | 2007 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2007
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/7613 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A multidimensional version of Levin's secular constant theorem and its applications / S.Yu. Favorov, N. Girya // Журн. мат. физики, анализа, геометрии. — 2007. — Т. 3, № 3. — С. 365-377. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We study holomorphic almost periodic functions on a tube domain with the spectrum in a cone. We extend to this case Levin's theorem on a connection between the Jessen function, secular constant, and the Phragmen-Lindeloof indicator. Then we obtain a multidimensional version of Picard's theorem on exceptional values for our class. |
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