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Журнал математической физики, анализа, геометрии, 2009, том 5, номер 1, страницы 3–11
(Mi jmag113)
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Multi-term asymptotic representations of the Riesz measure of subharmonic functions in the plane
P. Agranovich Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
Аннотация:
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.
Ключевые слова и фразы:
Subharmonic function, the Riesz measure, multi-term asymptotic representation, function of bounded variation.
Поступила в редакцию: 02.08.2007
Образец цитирования:
P. Agranovich, “Multi-term asymptotic representations of the Riesz measure of subharmonic functions in the plane”, Журн. матем. физ., анал., геом., 5:1 (2009), 3–11
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag113 https://www.mathnet.ru/rus/jmag/v5/i1/p3
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Страница аннотации: | 158 | PDF полного текста: | 67 | Список литературы: | 36 |
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