On conjugate pseudo-harmonic functions
We prove the following theorem. Let U be a pseudo-harmonic function on a surface M². For a real valued continuous function V : M² → R to be a conjugate pseudo-harmonic function of U on M² it is necessary and sufficient that V is open on level sets of U.
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| Date: | 2009 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/6330 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On conjugate pseudo-harmonic functions / Ye. Polulyakh // Збірник праць Інституту математики НАН України. — 2009. — Т. 6, № 2. — С. 505-517. — Бібліогр.: 4 назв. — англ. |
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