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March 2001 A generalization of Bôcher's theorem for polyharmonic functions
Toshihide Futamura, Kyoko Kishi, Yoshihiro Mizuta
Hiroshima Math. J. 31(1): 59-70 (March 2001). DOI: 10.32917/hmj/1151511148

Abstract

In this paper we generalize Bôcher's theorem for polyharmonic functions $u$. In fact, if $u$ is polyharmonic outside the origin and satisfies a certain integral condition, then it is shown that $u$ is written as the sum of partial derivatives of the fundamental solution and a polyharmonic function near the origin.

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Toshihide Futamura. Kyoko Kishi. Yoshihiro Mizuta. "A generalization of Bôcher's theorem for polyharmonic functions." Hiroshima Math. J. 31 (1) 59 - 70, March 2001. https://doi.org/10.32917/hmj/1151511148

Information

Published: March 2001
First available in Project Euclid: 28 June 2006

zbMATH: 1013.31005
MathSciNet: MR1820695
Digital Object Identifier: 10.32917/hmj/1151511148

Subjects:
Primary: 31B30

Rights: Copyright © 2001 Hiroshima University, Mathematics Program

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Vol.31 • No. 1 • March 2001
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