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Showing 2008 · math.SPShow all
3 papers · 2 filters
math.SP2008
Decomposing the Essential Spectrum
E. B. Davies
We use C*-algebra theory to provide a new method of decomposing the eseential spectra of self-adjoint and non-self-adjoint Schrodinger operators in one or more space dimensions.
math.SP2008★ 2 cited
Average growth of the spectral function on a Riemannian manifold
Hugues Lapointe, Iosif Polterovich, Yuri Safarov
We study average growth of the spectral function of the Laplacian on a Riemannian manifold. Two types of averaging are considered: with respect to the spectral parameter and with r…
math.SP2008
Spectral Properties of Matrices Associated with Some Directed Graphs
E. B. Davies, Paul A. Incani
We study the spectral properties of certain non-self-adjoint matrices associated with large directed graphs. Asymptotically the eigenvalues converge to certain curves, apart from a…