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MR1736869 58J50 (35J10 35P05 47F05 58J05)
Shubin, Mikhail Spectral theory of the Schrödinger operators on non-compact manifolds: qualitative results. Spectral theory and geometry (Edinburgh, 1998), 226–283, London Math. Soc. Lecture Note Ser., 273, Cambridge Univ. Press, Cambridge, 1999.
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