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On the existence of various bounded harmonic functions with given periods, II
Published online by Cambridge University Press: 22 January 2016
Extract
Given a harmonic function u on a Riemann surface R, we define a period function
for every one-dimensional cycle γ of the Riemann surface R. Γx(R) denote the totality of period functions Γu such that harmonic functions u satisfy a boundedness property X. As for X, we let B stand for boundedness, and D for the finiteness of the Dirichlet integral.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1975