Selberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces

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dc.creatorBorthwick, D.
dc.creatorJudge, C.
dc.creatorPerry, P. A.
dc.date2003-10-22
dc.date2003-11-11
dc.date.accessioned2026-07-07T05:02:11Z
dc.date.available2026-07-07T05:02:11Z
dc.descriptionFor hyperbolic Riemann surfaces of finite geometry, we study Selberg's zeta function and its relation to the relative scattering phase and the resonances of the Laplacian. As an application we show that the conjugacy class of a finitely generated, torsion-free, discrete subgroup of SL(2,R) is determined by its trace spectrum up to finitely many possibilities, thus generalizing results of McKean and Mueller to groups which are not necessarily cofinite.
dc.descriptionAMS-LaTeX, 27 pages, 3 figures. Revision adds references and corrects typos
dc.identifierhttps://arxiv.org/abs/math/0310364
dc.identifierhttp://arxiv.org/abs/math/0310364
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68959
dc.subjectDifferential Geometry
dc.subjectSpectral Theory
dc.subject58J50
dc.titleSelberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces
dc.typetext

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