English

Computation of Eigenvalues, Spectral Zeta Functions and Zeta-Determinants on Hyperbolic Surfaces

Numerical Analysis 2016-09-09 v2 Spectral Theory

Abstract

These are lecture notes from a series of three lectures given at the summer school "Geometric and Computational Spectral Theory" in Montreal in June 2015. The aim of the lecture was to explain the mathematical theory behind computations of eigenvalues and spectral determinants in geometrically non-trivial contexts.

Keywords

Cite

@article{arxiv.1604.02722,
  title  = {Computation of Eigenvalues, Spectral Zeta Functions and Zeta-Determinants on Hyperbolic Surfaces},
  author = {Alexander Strohmaier},
  journal= {arXiv preprint arXiv:1604.02722},
  year   = {2016}
}

Comments

33 pages, LaTeX with sample Mathematica code included, some typos corrected