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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| Дата: | 2009 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106529 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1065292016-10-01T03:01:40Z Multi-Term Asymptotic Representations of the Riesz Measure of Subharmonic Functions in the Plane Agranovich, P. 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. 2009 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/106529 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 |
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. |
| format |
Article |
| author |
Agranovich, P. |
| spellingShingle |
Agranovich, P. Multi-Term Asymptotic Representations of the Riesz Measure of Subharmonic Functions in the Plane Журнал математической физики, анализа, геометрии |
| author_facet |
Agranovich, P. |
| author_sort |
Agranovich, P. |
| title |
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_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_sort |
multi-term asymptotic representations of the riesz measure of subharmonic functions in the plane |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106529 |
| 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. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT agranovichp multitermasymptoticrepresentationsoftherieszmeasureofsubharmonicfunctionsintheplane |
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2023-10-18T20:13:09Z |
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2023-10-18T20:13:09Z |
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1796149285071355904 |