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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| 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-6330 |
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Polulyakh, Ye. 2010-02-23T14:52:26Z 2010-02-23T14:52:26Z 2009 On conjugate pseudo-harmonic functions / Ye. Polulyakh // Збірник праць Інституту математики НАН України. — 2009. — Т. 6, № 2. — С. 505-517. — Бібліогр.: 4 назв. — англ. 1815-2910 https://nasplib.isofts.kiev.ua/handle/123456789/6330 517.54,517.57 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. en Інститут математики НАН України Геометрія, топологія та їх застосування On conjugate pseudo-harmonic functions Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On conjugate pseudo-harmonic functions |
| spellingShingle |
On conjugate pseudo-harmonic functions Polulyakh, Ye. Геометрія, топологія та їх застосування |
| title_short |
On conjugate pseudo-harmonic functions |
| title_full |
On conjugate pseudo-harmonic functions |
| title_fullStr |
On conjugate pseudo-harmonic functions |
| title_full_unstemmed |
On conjugate pseudo-harmonic functions |
| title_sort |
on conjugate pseudo-harmonic functions |
| author |
Polulyakh, Ye. |
| author_facet |
Polulyakh, Ye. |
| topic |
Геометрія, топологія та їх застосування |
| topic_facet |
Геометрія, топологія та їх застосування |
| publishDate |
2009 |
| language |
English |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
|
| issn |
1815-2910 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/6330 |
| citation_txt |
On conjugate pseudo-harmonic functions / Ye. Polulyakh // Збірник праць Інституту математики НАН України. — 2009. — Т. 6, № 2. — С. 505-517. — Бібліогр.: 4 назв. — англ. |
| work_keys_str_mv |
AT polulyakhye onconjugatepseudoharmonicfunctions |
| first_indexed |
2025-12-07T17:21:20Z |
| last_indexed |
2025-12-07T17:21:20Z |
| _version_ |
1850870942620712960 |