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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A converse of the volume-mean-value property for invariantly harmonic functions


Authors: Joaquim Bruna and Jacqueline Detraz
Journal: Proc. Amer. Math. Soc. 122 (1994), 1029-1034
MSC: Primary 31B05; Secondary 32A99
MathSciNet review: 1209418
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Abstract: It is shown that the balls are the only domains having the mean value property with respect to the invariantly harmonic functions in the unit ball of $ {\mathbb{C}^n}$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1209418-8
PII: S 0002-9939(1994)1209418-8
Keywords: Invariantly harmonic functions, Green function, Bergman Laplacian
Article copyright: © Copyright 1994 American Mathematical Society