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Energy of Radial Vector Fields on Compact Rank One Symmetric Spaces

✍ Scribed by E. Boeckx; J. C. González-Dávila; L. Vanhecke


Book ID
110406218
Publisher
Springer
Year
2003
Tongue
English
Weight
168 KB
Volume
23
Category
Article
ISSN
0232-704X

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If f # L 1 (d+) is harmonic in the space GÂK, where + is a radial measure with +(GÂK)=1, we have, by the mean value property f = f V +. Conversely, does this mean value property imply that f is harmonic ? In this paper we give a new and natural proof of a result obtained by P. Ahern, A. Flores, W. R