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Multi-Term Asymptotic Representations of the Riesz Measure of Subharmonic Functions in the Plane
Репозиторій DSpace/Manakin
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Multi-Term Asymptotic Representations of the Riesz Measure of Subharmonic Functions in the Plane
Посилання:
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.
Підтримка:
The author is grateful to the reviewer for very useful remarks.
Дата:
2009
Переглядів:
664
Завантажень:
260
Анотація:
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.
