Variation of Subharmonic Function under Transformation of its Riesz Measure
The paper combines two aspects. First, it contains a compressed com- parative review of the well-known results on the change of growth of entire (subharmonic resp.) function under the shifts of its zeros (under T-shift of its Riesz measure resp.). There was B.Ya. Levin who stood at the sources of th...
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| Published in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Date: | 2007 |
| 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: | https://nasplib.isofts.kiev.ua/handle/123456789/106438 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Variation of Subharmonic Function under Transformation of its Riesz Measure / E.G. Kudasheva, B.N. Khabibullin // Журнал математической физики, анализа, геометрии. — 2007. — Т. 3, № 1. — С. 61-94. — Бібліогр.: 25 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862571514695516160 |
|---|---|
| author | Kudasheva, E.G. Khabibullin, B.N. |
| author_facet | Kudasheva, E.G. Khabibullin, B.N. |
| citation_txt | Variation of Subharmonic Function under Transformation of its Riesz Measure / E.G. Kudasheva, B.N. Khabibullin // Журнал математической физики, анализа, геометрии. — 2007. — Т. 3, № 1. — С. 61-94. — Бібліогр.: 25 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | The paper combines two aspects. First, it contains a compressed com- parative review of the well-known results on the change of growth of entire (subharmonic resp.) function under the shifts of its zeros (under T-shift of its Riesz measure resp.). There was B.Ya. Levin who stood at the sources of these results. Second, the rst coauthor proves new results obtained in this direction: the estimates of change of subharmonic function under integral restrictions for T-shift of its Riesz measure, and also, in a certain sense, an optimal approximation of an entire function by the entire function with simple zeros.
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| first_indexed | 2025-11-26T04:45:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106438 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-26T04:45:25Z |
| publishDate | 2007 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Kudasheva, E.G. Khabibullin, B.N. 2016-09-28T17:57:18Z 2016-09-28T17:57:18Z 2007 Variation of Subharmonic Function under Transformation of its Riesz Measure / E.G. Kudasheva, B.N. Khabibullin // Журнал математической физики, анализа, геометрии. — 2007. — Т. 3, № 1. — С. 61-94. — Бібліогр.: 25 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106438 The paper combines two aspects. First, it contains a compressed com- parative review of the well-known results on the change of growth of entire (subharmonic resp.) function under the shifts of its zeros (under T-shift of its Riesz measure resp.). There was B.Ya. Levin who stood at the sources of these results. Second, the rst coauthor proves new results obtained in this direction: the estimates of change of subharmonic function under integral restrictions for T-shift of its Riesz measure, and also, in a certain sense, an optimal approximation of an entire function by the entire function with simple zeros. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Variation of Subharmonic Function under Transformation of its Riesz Measure Article published earlier |
| spellingShingle | Variation of Subharmonic Function under Transformation of its Riesz Measure Kudasheva, E.G. Khabibullin, B.N. |
| title | Variation of Subharmonic Function under Transformation of its Riesz Measure |
| title_full | Variation of Subharmonic Function under Transformation of its Riesz Measure |
| title_fullStr | Variation of Subharmonic Function under Transformation of its Riesz Measure |
| title_full_unstemmed | Variation of Subharmonic Function under Transformation of its Riesz Measure |
| title_short | Variation of Subharmonic Function under Transformation of its Riesz Measure |
| title_sort | variation of subharmonic function under transformation of its riesz measure |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106438 |
| work_keys_str_mv | AT kudashevaeg variationofsubharmonicfunctionundertransformationofitsrieszmeasure AT khabibullinbn variationofsubharmonicfunctionundertransformationofitsrieszmeasure |