Fourier integral representation of harmonic functions in terms of a current

Hideshi YAMANE

doi:10.2969/jmsj/1191591996

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Home > Journals > J. Math. Soc. Japan > Volume 54 > Issue 4 > Article

October, 2002 Fourier integral representation of harmonic functions in terms of a current

Hideshi YAMANE

J. Math. Soc. Japan 54(4): 901-909 (October, 2002). DOI: 10.2969/jmsj/1191591996

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Abstract

We give a Fourier integral representation of harmonic functions in three variables in terms of the current of integration over $\{z_{1}^{2}+z_{2}^{2}+z_{3}^{2}=0\}\subset C^{3}$ .

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Hideshi YAMANE. "Fourier integral representation of harmonic functions in terms of a current." J. Math. Soc. Japan 54 (4) 901 - 909, October, 2002. https://doi.org/10.2969/jmsj/1191591996

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Published: October, 2002

First available in Project Euclid: 5 October 2007

zbMATH: 1044.31001

MathSciNet: MR1921091

Digital Object Identifier: 10.2969/jmsj/1191591996

Subjects:

Primary: 32C30

Secondary: 31A05 , 31A25

Keywords: current , the fundamental principle , the Poisson integral

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J. Math. Soc. Japan

Vol.54 • No. 4 • October, 2002

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Hideshi YAMANE "Fourier integral representation of harmonic functions in terms of a current," Journal of the Mathematical Society of Japan, J. Math. Soc. Japan 54(4), 901-909, (October, 2002)

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