Functional determinants on spheres and sectors
High Energy Physics - Theory
2009-10-22 v1 funct-an
Functional Analysis
Abstract
The scalar functional determinants on sectors of the two-dimensional disc and spherical cap are determined for arbitrary angles (rational factors of ). The wholesphere and hemisphere expressions are also given, in low dimensions, for both the ordinary and the conformal Laplacian. Comparisons are made with other work.
Keywords
Cite
@article{arxiv.hep-th/9312080,
title = {Functional determinants on spheres and sectors},
author = {J. S. Dowker},
journal= {arXiv preprint arXiv:hep-th/9312080},
year = {2009}
}
Comments
14 pages,4 figures on request,Plain TeX