Summary
On a Harmonic Space Satisfying the axioms 1, 2, 3 of M. Brelot and having positive potentials, the existence of nonconstant harmonic functions is studied, following the lines of the classification of a hyperbolic Riemann Surface.
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Anandam, I.V. Harmonic spaces with positive potentials and nonconstant harmonic functions. Rend. Circ. Mat. Palermo 21, 149–167 (1972). https://doi.org/10.1007/BF02844239
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DOI: https://doi.org/10.1007/BF02844239