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Eigenvalues and Spectral Determinants on Compact Hyperbolic Surfaces

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Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

Compact hyperbolic surfaces are two dimensional oriented Riemannian manifolds of constant negative curvature − 1. They can be realized as quotients \(\Gamma \setminus \mathbb{H}\) of the upper half plane \(\mathbb{H} =\{ (x,y)\mid y > 0\}\) by a discrete hyperbolic co-compact subgroup \(\Gamma \subset SL(2, \mathbb{R})\).

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References

  1. Alexander Strohmaier, Ville Uski, Rigorous Computations of Eigenvalues and Spectral Zeta Functions and Zeta-Determinants on Hyperbolic Surfaces, in preparation

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Correspondence to Alexander Strohmaier .

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Strohmaier, A., Uski, V. (2013). Eigenvalues and Spectral Determinants on Compact Hyperbolic Surfaces. In: Grieser, D., Teufel, S., Vasy, A. (eds) Microlocal Methods in Mathematical Physics and Global Analysis. Trends in Mathematics(). Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0466-0_24

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