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MR2336306 (2008h:58037) 58J05 (35B05 35J15 35P05 58J50)
Kuchment, Peter; Pinchover, Yehuda Liouville theorems and spectral edge behavior on abelian coverings of compact manifolds. Trans. Amer. Math. Soc. 359 (2007), no. 12, 5777–5815.
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