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Integral representations for harmonic functions of infinite order in a cone. (English) Zbl 1252.31004
Summary: A harmonic function of infinite order defined in an $n$-dimensional cone and continuous in the closure can be represented in terms of the modified Poisson integral and an infinite sum of harmonic polynomials vanishing on the boundary.
##### MSC:
 31B10 Integral representations of harmonic functions (higher-dimensional) 31C05 Generalizations of harmonic (subharmonic, superharmonic) functions
##### Keywords:
integral representation; harmonic function; cone
##### References:
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