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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Опубліковано в: :Журнал математической физики, анализа, геометрии
Дата:2007
Автори: Kudasheva, E.G., Khabibullin, B.N.
Формат: Стаття
Мова:Англійська
Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2007
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/106438
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
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.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
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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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language English
last_indexed 2025-11-26T04:45:25Z
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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
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