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Eigenvalue bounds for the fractional Laplacian: A review

Published 31 Mar 2016 in math.SP, math-ph, math.AP, and math.MP | (1603.09736v2)

Abstract: We review some recent results on eigenvalues of fractional Laplacians and fractional Schr\"odinger operators. We discuss, in particular, Lieb-Thirring inequalities and their generalizations, as well as semi-classical asymptotics.

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