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The Dirichlet problem on the upper half-space. (English) Zbl 1254.31005
Summary: A solution of the Dirichlet problem on the upper half-space is constructed by a generalized Dirichlet integral with a fast-growing continuous boundary function.

31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions
31B10 Integral representations, integral operators, integral equations methods in higher dimensions
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