Subharmonic almost periodic functions
We prove that almost periodicity in the sense of distributions coincides with almost periodicity with respect to Stepanov's metric for the class of subharmonic functions in a strip {z belongs C : a < Imz < b}. We also prove that Fourier coefficients of these functions are continuo...
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
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| Datum: | 2005 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2005
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106574 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Subharmonic almost periodic functions / A.V. Rakhnin, S.Yu. Favorov // Журнал математической физики, анализа, геометрии. — 2005. — Т. 1, № 2. — С. 209-224. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862550189522288640 |
|---|---|
| author | Rakhnin, A.V. Favorov, S.Yu. |
| author_facet | Rakhnin, A.V. Favorov, S.Yu. |
| citation_txt | Subharmonic almost periodic functions / A.V. Rakhnin, S.Yu. Favorov // Журнал математической физики, анализа, геометрии. — 2005. — Т. 1, № 2. — С. 209-224. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | We prove that almost periodicity in the sense of distributions coincides with almost periodicity with respect to Stepanov's metric for the class of subharmonic functions in a strip {z belongs C : a < Imz < b}. We also prove that Fourier coefficients of these functions are continuous functions in Imz. Further, if the logarithm of a subharmonic almost periodic function is a subharmonic function, then it is almost periodic.
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| first_indexed | 2025-11-25T20:43:23Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106574 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-25T20:43:23Z |
| publishDate | 2005 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Rakhnin, A.V. Favorov, S.Yu. 2016-09-30T18:03:53Z 2016-09-30T18:03:53Z 2005 Subharmonic almost periodic functions / A.V. Rakhnin, S.Yu. Favorov // Журнал математической физики, анализа, геометрии. — 2005. — Т. 1, № 2. — С. 209-224. — Бібліогр.: 8 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106574 We prove that almost periodicity in the sense of distributions coincides with almost periodicity with respect to Stepanov's metric for the class of subharmonic functions in a strip {z belongs C : a < Imz < b}. We also prove that Fourier coefficients of these functions are continuous functions in Imz. Further, if the logarithm of a subharmonic almost periodic function is a subharmonic function, then it is almost periodic. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Subharmonic almost periodic functions Article published earlier |
| spellingShingle | Subharmonic almost periodic functions Rakhnin, A.V. Favorov, S.Yu. |
| title | Subharmonic almost periodic functions |
| title_full | Subharmonic almost periodic functions |
| title_fullStr | Subharmonic almost periodic functions |
| title_full_unstemmed | Subharmonic almost periodic functions |
| title_short | Subharmonic almost periodic functions |
| title_sort | subharmonic almost periodic functions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106574 |
| work_keys_str_mv | AT rakhninav subharmonicalmostperiodicfunctions AT favorovsyu subharmonicalmostperiodicfunctions |