Multi-Term Asymptotic Representations of the Riesz Measure of Subharmonic Functions in the Plane
In the paper, a multi-term asymptotic representation for distribution function of the Riesz measure of subharmonic function in the plane is considered. It is shown that the "smallness" of the reminder term of asymptotic representation does not guarantee the bounded variation with respect t...
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| Published in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Date: | 2009 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106529 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Multi-Term Asymptotic Representations of the Riesz Measure of Subharmonic Functions in the Plane / P. Agranovich // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 1. — С. 3-11. — Бібліогр.: 6 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862697714965282816 |
|---|---|
| author | Agranovich, P. |
| author_facet | Agranovich, P. |
| citation_txt | Multi-Term Asymptotic Representations of the Riesz Measure of Subharmonic Functions in the Plane / P. Agranovich // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 1. — С. 3-11. — Бібліогр.: 6 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | In the paper, a multi-term asymptotic representation for distribution function of the Riesz measure of subharmonic function in the plane is considered. It is shown that the "smallness" of the reminder term of asymptotic representation does not guarantee the bounded variation with respect to the angle variable of all terms of this asymptotics, and the conditions for this property to be held are given.
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| first_indexed | 2025-12-07T16:30:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106529 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T16:30:47Z |
| publishDate | 2009 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Agranovich, P. 2016-09-30T06:14:30Z 2016-09-30T06:14:30Z 2009 Multi-Term Asymptotic Representations of the Riesz Measure of Subharmonic Functions in the Plane / P. Agranovich // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 1. — С. 3-11. — Бібліогр.: 6 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106529 In the paper, a multi-term asymptotic representation for distribution function of the Riesz measure of subharmonic function in the plane is considered. It is shown that the "smallness" of the reminder term of asymptotic representation does not guarantee the bounded variation with respect to the angle variable of all terms of this asymptotics, and the conditions for this property to be held are given. The author is grateful to the reviewer for very useful remarks. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Multi-Term Asymptotic Representations of the Riesz Measure of Subharmonic Functions in the Plane Article published earlier |
| spellingShingle | Multi-Term Asymptotic Representations of the Riesz Measure of Subharmonic Functions in the Plane Agranovich, P. |
| title | Multi-Term Asymptotic Representations of the Riesz Measure of Subharmonic Functions in the Plane |
| title_full | Multi-Term Asymptotic Representations of the Riesz Measure of Subharmonic Functions in the Plane |
| title_fullStr | Multi-Term Asymptotic Representations of the Riesz Measure of Subharmonic Functions in the Plane |
| title_full_unstemmed | Multi-Term Asymptotic Representations of the Riesz Measure of Subharmonic Functions in the Plane |
| title_short | Multi-Term Asymptotic Representations of the Riesz Measure of Subharmonic Functions in the Plane |
| title_sort | multi-term asymptotic representations of the riesz measure of subharmonic functions in the plane |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106529 |
| work_keys_str_mv | AT agranovichp multitermasymptoticrepresentationsoftherieszmeasureofsubharmonicfunctionsintheplane |