English

Two simple topics in spectral theory

High Energy Physics - Theory 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0107171,
  title  = {Two simple topics in spectral theory},
  author = {J. S. Dowker},
  journal= {arXiv preprint arXiv:hep-th/0107171},
  year   = {2007}
}

Comments

Talk presented at the International Meeting on ``Quantum Gravity and Spectral Geometry'', Naples July 2-7, 2001. 4 pages, LaTeX