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The Martin compactification of a plane domain. (English) Zbl 0919.31001
Summary: The authors prove that the Martin compactification of a plane domain is homeomorphic to a subset of the two-dimensional sphere.
MSC:
31A20 Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions
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References:
[1] J.L. DOOB, Classical potential theory and its probabilistic counterpart, Springer, 1984. · Zbl 0549.31001
[2] N.S. NADIRASHVILI, Multiple eigenvalues of the Laplace operator (Russian), Matem. Sb., 133 (175), 1987 ; English translation in Math. USSR Sbornik, 61 (1988), 225-238. · Zbl 0672.35049
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