Fourier integral representation of harmonic functions in terms of a current

Hideshi YAMANE

doi:10.2969/jmsj/1191591996

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Fourier integral representation of harmonic functions in terms of a current

Hideshi YAMANE

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Keywords: current, the fundamental principle, the Poisson integral

JOURNAL FREE ACCESS

2002 Volume 54 Issue 4 Pages 901-909

DOI https://doi.org/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 {z₁²+z₂²+z₃²=0}⊂ \bm{C}³.

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