]. N. Bergeron11 and . Bergeron, Le spectre des surfaces hyperboliques. Savoirs Actuels (Les Ulis)EDP Sciences, Les Ulis, CNRS ditions, 2011.

D. Borisov and P. Freitas, Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mi>d</mml:mi></mml:msup></mml:math>, Journal of Functional Analysis, vol.258, issue.3, pp.893-912, 2010.
DOI : 10.1016/j.jfa.2009.07.014

]. Y. Colindeverdì-ere82, Pseudo-laplaciens. I, Annales de l???institut Fourier, vol.32, issue.3, pp.275-286, 1982.
DOI : 10.5802/aif.890

]. Y. Colindeverdì-ere83, Pseudo-laplaciens II, Annales de l???institut Fourier, vol.33, issue.2, pp.87-113, 1983.
DOI : 10.5802/aif.917

]. J. Dieudonné and . Dieudonné, Foundations of modern analysis, Pure and Applied Mathematics, 1960.

J. Deshouillers, H. Iwaniec, R. S. Phillips, and P. Sarnak, Maass cusp forms, Proc. Nat. Acad. Sci. U.S.A, pp.3533-3534, 1985.
DOI : 10.1073/pnas.82.11.3533

]. L. Frisol09, M. Friedlander, and . Solomyak, On the spectrum of the Dirichlet Laplacian in a narrow strip, Israel J. Math, vol.170, pp.337-354, 2009.

D. Grieser and D. Jerison, Asymptotics of the first nodal line of a convex domain, Inventiones Mathematicae, vol.125, issue.2, pp.197-219, 1996.
DOI : 10.1007/s002220050073

]. L. Hlrjdg09, C. Hillairet, and . Judge, Generic spectral simplicity of polygons, Proc. Amer, pp.2139-2145, 2009.

]. L. Hlrjdg11, C. Hillairet, and . Judge, Spectral simplicity and asymptotic separation of variables, Comm. Math. Phys, vol.302, issue.2, pp.291-344, 2011.

]. L. Hörm and . Hörmander, An introduction to complex analysis in several variables, 1990.

C. M. Judge, On the existence of Maass cusp forms on hyperbolic surfaces with cone points, Journal of the American Mathematical Society, vol.8, issue.3, pp.715-759, 1995.
DOI : 10.1090/S0894-0347-1995-1273415-6

C. M. Judge, Small eigenvalues and maximal laminations on complete surfaces of negative curvature, the tradition of Ahlfors-Bers. IV, 93-105, 2007.
DOI : 10.1090/conm/432/08301

]. T. Kato and . Kato, Perturbation Theory for Linear Operators, 1995.

]. P. Laxphl, R. Lax, and . Phillips, Scattering theory for automorphic forms, 1976.

P. Lax and R. Phillips, Scattering theory for automorphic functions, Bulletin of the American Mathematical Society, vol.2, issue.2, pp.261-295, 1980.
DOI : 10.1090/S0273-0979-1980-14735-7

]. F. Olver and . Olver, Asymptotics and Special Functions, AKP Classics, 1974.

]. R. Phlsrn85, P. Phillips, and . Sarnak, On cusp forms for co-finite subgroups of PSL, Invent. Math, vol.80, issue.2 2, pp.339-364, 1985.

]. R. Phlsrn92a, P. Phillips, and . Sarnak, Perturbation theory for the Laplacian on automorphic functions, J. Amer. Math. Soc, vol.5, issue.1, p.132, 1992.

]. R. Phlsrn92b, P. Phillips, and . Sarnak, Automorphic spectrum and Fermi's golden rule, J. Anal. Math, vol.59, pp.179-187, 1992.

]. R. Phlsrn94, P. Phillips, and . Sarnak, Cusp forms for character varieties, Geom. Funct. Anal, vol.4, issue.1, pp.93-118, 1994.

]. P. Sarnak03 and . Sarnak, Spectra of hyperbolic surfaces, Bulletin of the American Mathematical Society, vol.40, issue.04, pp.441-478, 2003.
DOI : 10.1090/S0273-0979-03-00991-1

]. A. Selberg and . Selberg, Harmonic Analysis in Collected papers Spectral limits for hyperbolic surfaces. I, II, Invent. Math, vol.108, issue.1, pp.67-89, 1989.