On the resolvent and spectral functions of a second order differential operator with a regular singularity
Mathematical Physics
2015-06-26 v2 High Energy Physics - Theory
Functional Analysis
math.MP
Spectral Theory
Quantum Physics
Abstract
We consider the resolvent of a second order differential operator with a regular singularity, admitting a family of self-adjoint extensions. We find that the asymptotic expansion for the resolvent in the general case presents unusual powers of which depend on the singularity. The consequences for the pole structure of the -function, and the small- asymptotic expansion of the heat-kernel, are also discussed.
Cite
@article{arxiv.math-ph/0404034,
title = {On the resolvent and spectral functions of a second order differential operator with a regular singularity},
author = {H. Falomir and M. A. Muschietti and P. A. G. Pisani},
journal= {arXiv preprint arXiv:math-ph/0404034},
year = {2015}
}
Comments
LaTeX, 26 pages, 2 figures. Typos corrected