Аналитические функции с особенностями и N-свойство
It is proved that if the image of the eventual singular set of an analytic function of measure zero is also of measure zero, and the function is zero-dimensional on it, then it is analytic everywhere.
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| Date: | 2008 |
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| Main Author: | |
| Format: | Article |
| Language: | Russian |
| Published: |
Видавничий дім "Академперіодика" НАН України
2008
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/6090 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Аналитические функции с особенностями и N-свойство / Ю.Ю. Трохимчук // Доп. НАН України. — 2008. — № 10. — С. 32-34. — Бібліогр.: 1 назв. — рос. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | It is proved that if the image of the eventual singular set of an analytic function of measure zero is also of measure zero, and the function is zero-dimensional on it, then it is analytic everywhere. |
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