Email this article Mean Value Properties of Harmonic Functions and Related Topics (a Survey)
- Authors: Kuznetsov N.1
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Affiliations:
- Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, RAS
- Issue: Vol 242, No 2 (2019)
- Pages: 177-199
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242966
- DOI: https://doi.org/10.1007/s10958-019-04473-w
- ID: 242966
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Abstract
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.
About the authors
N. Kuznetsov
Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, RAS
Author for correspondence.
Email: nikolay.g.kuznetsov@gmail.com
Russian Federation, 61, V.O., Bol’shoy pr., St. Petersburg, 199178
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