%0 Journal Article
%T A short proof of Weyl's law for fractional differential operators
%A Leander Geisinger
%J Mathematics
%D 2013
%I arXiv
%R 10.1063/1.4861935
%X We study spectral asymptotics for a large class of differential operators on an open subset of $\R^d$ with finite volume. This class includes the Dirichlet Laplacian, the fractional Laplacian, and also fractional differential operators with non-homogeneous symbols. Based on a sharp estimate for the sum of the eigenvalues we establish the first term of the semiclassical asymptotics. This generalizes Weyl's law for the Laplace operator.
%U http://arxiv.org/abs/1309.1867v1