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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| Видавець: | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
|---|---|
| Дата: | 2007 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2007
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106438 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1064382016-09-29T03:02:08Z Variation of Subharmonic Function under Transformation of its Riesz Measure Kudasheva, E.G. Khabibullin, B.N. 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. 2007 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/106438 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Kudasheva, E.G. Khabibullin, B.N. |
| spellingShingle |
Kudasheva, E.G. Khabibullin, B.N. Variation of Subharmonic Function under Transformation of its Riesz Measure Журнал математической физики, анализа, геометрии |
| author_facet |
Kudasheva, E.G. Khabibullin, B.N. |
| author_sort |
Kudasheva, E.G. |
| title |
Variation of Subharmonic Function under Transformation of its Riesz Measure |
| title_short |
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_sort |
variation of subharmonic function under transformation of its riesz measure |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106438 |
| 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. |
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Журнал математической физики, анализа, геометрии |
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AT kudashevaeg variationofsubharmonicfunctionundertransformationofitsrieszmeasure AT khabibullinbn variationofsubharmonicfunctionundertransformationofitsrieszmeasure |
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2023-10-18T20:12:56Z |
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