Mean Value Properties of Harmonic Functions and Related Topics (a Survey)
- Авторы: Kuznetsov N.1
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Учреждения:
- Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, RAS
- Выпуск: Том 242, № 2 (2019)
- Страницы: 177-199
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242966
- DOI: https://doi.org/10.1007/s10958-019-04473-w
- ID: 242966
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Аннотация
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.
Об авторах
N. Kuznetsov
Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, RAS
Автор, ответственный за переписку.
Email: nikolay.g.kuznetsov@gmail.com
Россия, 61, V.O., Bol’shoy pr., St. Petersburg, 199178
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