Mean Value Properties of Harmonic Functions and Related Topics (a Survey)

被引：1
|
作者：
Kuznetsov N. [1 ]
机构：
[1] Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, RAS, 61, V.O., Bol’shoy pr., St. Petersburg
来源：
Journal of Mathematical Sciences | 2019年 / 242卷 / 2期
关键词：
D O I：
10.1007/s10958-019-04473-w
中图分类号：
学科分类号：
摘要：
Results involving various mean value properties are reviewed for harmonic, biharmonic and metaharmonic functions. It is also considered how the standard mean value property can be weakened to imply harmonicity and belonging to other classes of functions. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：177 / 199
页数：22
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