中文

The Selberg trace formula for Dirac operators

数学物理 2007-05-23 v1 math.MP

摘要

We examine spectra of Dirac operators on compact hyperbolic surfaces. Particular attention is devoted to symmetry considerations, leading to non-trivial multiplicities of eigenvalues. The relation to spectra of Maass-Laplace operators is also exploited. Our main result is a Selberg trace formula for Dirac operators on hyperbolic surfaces.

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引用

@article{arxiv.math-ph/0607010,
  title  = {The Selberg trace formula for Dirac operators},
  author = {Jens Bolte and Hans-Michael Stiepan},
  journal= {arXiv preprint arXiv:math-ph/0607010},
  year   = {2007}
}