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Variation of Subharmonic Function under Transformation of its Riesz Measure

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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Main Authors: Kudasheva, E.G., Khabibullin, B.N.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2007
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106438
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spelling 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.
series Журнал математической физики, анализа, геометрии
work_keys_str_mv AT kudashevaeg variationofsubharmonicfunctionundertransformationofitsrieszmeasure
AT khabibullinbn variationofsubharmonicfunctionundertransformationofitsrieszmeasure
first_indexed 2023-10-18T20:12:56Z
last_indexed 2023-10-18T20:12:56Z
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