The Spectrum of Hyperbolic Surfaces Nicolas Bergeron
Publisher: Springer International Publishing

In this paper, we begin a study of the length spectrum for geometrically infinite hyperbolic surfaces. Non-negative and has purely discrete spectrum on the space L2.Y; dv/ of special closed curves on a compact hyperbolic Riemann surface. Topological methods to study the smallest non-zero number $lambda_1$ in the spectrum of the Laplacian on finite area hyperbolic surfaces. Scuola Envelopes of horospheres and Weingarten surfaces in hyperbolic 3-spaces. The Laplace spectrum of a closed hyperbolic surface S consists of a dis-. The correlation of length spectra of two hyperbolic surfaces. Spectra of hyperbolic surfaces. Author: Peter Sarnak Journal: Bull. Spectral properties of Schrödinger operators and scattering theory. Zero number λ1 in the spectrum of the Laplacian on finite area hyper- bolic surfaces. Http://projecteuclid.org/euclid.cmp/1104252687.