Some Remarks on Harmonic Functions in Minkowski Spaces
We prove that in Minkowski spaces, a harmonic function does not necessarily satisfy the mean value formula. Conversely, we also show that a function satisfying the mean value formula is not necessarily a harmonic function. Finally, we conclude that in a Minkowski space, if all harmonic functions hav...
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Format: | Article |
Language: | English |
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MDPI AG
2019-02-01
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Series: | Mathematics |
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Online Access: | https://www.mdpi.com/2227-7390/7/2/196 |