Fourier-Ehrenpreis integral formula for harmonic functions

Hideshi YAMANE

doi:10.2969/jmsj/1191334083

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Home > Journals > J. Math. Soc. Japan > Volume 56 > Issue 3 > Article

July, 2004 Fourier-Ehrenpreis integral formula for harmonic functions

Hideshi YAMANE

J. Math. Soc. Japan 56(3): 729-735 (July, 2004). DOI: 10.2969/jmsj/1191334083

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Abstract

We give a Fourier-Ehrenpreis integral representation formula that expresses a harmonic function in a ball with a prescribed boundary value by superposition of harmonic exponentials.

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Hideshi YAMANE. "Fourier-Ehrenpreis integral formula for harmonic functions." J. Math. Soc. Japan 56 (3) 729 - 735, July, 2004. https://doi.org/10.2969/jmsj/1191334083

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Published: July, 2004

First available in Project Euclid: 2 October 2007

zbMATH: 1065.31006

MathSciNet: MR2071670

Digital Object Identifier: 10.2969/jmsj/1191334083

Subjects:

Primary: 32C30

Secondary: 31A05 , 31A25

Keywords: Currents , Harmonic functions , the fundamental principle

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J. Math. Soc. Japan

Vol.56 • No. 3 • July, 2004

Mathematical Society of Japan

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Hideshi YAMANE "Fourier-Ehrenpreis integral formula for harmonic functions," Journal of the Mathematical Society of Japan, J. Math. Soc. Japan 56(3), 729-735, (July, 2004)

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