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arxiv: hep-th/0107171 · v1 · submitted 2001-07-20 · ✦ hep-th

Two simple topics in spectral theory

classification ✦ hep-th
keywords boundaryconditionscountingdelta-functionderivativeselementaryexamplesexpression
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1.An expression for the smoothed counting function in terms of the fractional derivatives of the delta-function is presented. 2. The Neumann-Dirichlet (ND) boundary problem is introduced via some elementary examples based on a functorial relation between the ND, DD, NN and periodic boundary conditions.

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