@article{TSG_1989-1990__8__89_0,
author = {Laurent Guillop\'e},
title = {Fonctions z\^eta de {Selberg} et surfaces de g\'eom\'etrie finie},
journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
pages = {89--94},
year = {1989-1990},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {8},
doi = {10.5802/tsg.81},
zbl = {0757.58039},
mrnumber = {1717287},
language = {fr},
url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.81/}
}
TY - JOUR AU - Laurent Guillopé TI - Fonctions zêta de Selberg et surfaces de géométrie finie JO - Séminaire de théorie spectrale et géométrie PY - 1989-1990 SP - 89 EP - 94 VL - 8 PB - Institut Fourier PP - Grenoble UR - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.81/ DO - 10.5802/tsg.81 LA - fr ID - TSG_1989-1990__8__89_0 ER -
%0 Journal Article %A Laurent Guillopé %T Fonctions zêta de Selberg et surfaces de géométrie finie %J Séminaire de théorie spectrale et géométrie %D 1989-1990 %P 89-94 %V 8 %I Institut Fourier %C Grenoble %U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.81/ %R 10.5802/tsg.81 %G fr %F TSG_1989-1990__8__89_0
Laurent Guillopé. Fonctions zêta de Selberg et surfaces de géométrie finie. Séminaire de théorie spectrale et géométrie, Volume 8 (1989-1990), pp. 89-94. doi: 10.5802/tsg.81
[l] - On the spectral theory of the laplacian on non-compact hyperbolic manifolds, Séminaire d'équations aux dérivées partielles, Saint-Jean de Monts, 1986. | Numdam | Zbl
[2] , - On the theory of wave operators and scattering operators, Dokl. Akad. Nauk SSSR, 144 ( 1962), 475-478. | MR | Zbl
[3] - Determinants of laplacians on surfaces of finite volume, Commun. Math. Phys., 119 ( 1988), 443-451. | MR | Zbl
[4] - Asymptotics for closed geodesics in a homology class, the finite volume case, Duke Math. J., 55 ( 1987), 717-757. | MR | Zbl
[5] - Zeta Functions of Ruelle and Selberg I, Ann. École Normale Sup., 19 ( 1986), 491-517. | Numdam | MR | Zbl
[6] - Fonctions zêta de Selberg et surfaces de géométrie finie, à paraître, 1990.
[7] - Perturbation theory for linear operators, Springer, 1966. | Zbl
[8] , - Homology and closed geodesics in a compact riemann surface, Amer. J. Math., (),. | MR | Zbl
[9] - On the trace formule in the theory of perturbation, Mat. Sb, 33 ( 1953), 597-626. | MR
[10] - Renewal theorems in symbolic dynamics, with applications to geodesie flows, noneuclidian tesselations and their fractal limits, Acta Math., 163 ( 1989), 1-55. | MR | Zbl
[11] - Selberg's zeta function for PSL(2,Z) via the thermodynamic formalism for the continued fraction map, prépublication, 1990.
[12] , - Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature, J. Func. Anal., 75 ( 1987), 260-310. | MR | Zbl
[13] - The laplace operator on a hyperbolic manifold. II. Eisenstein series and the scattering matrix, J. Reine Angew. Math, 398 ( 1989), 67-91. | MR | Zbl
[14] , - Geodesics in homology classes, Duke Math. J., 55 ( 1987), 287-297. | MR | Zbl
[15] - Analytic extensions of the zeta functions for surfaces of variable negative curvature, J. Differential Geo., 29 ( 1989), 699-706. | MR | Zbl
[16] - Determinants of laplacians, Commun. Math. Phys., 110 ( 1987), 113-120. | MR | Zbl
[17] - Harmonic analysis and discontinuous groups in weakly symmetrie riemannian spaces with applications to Dirichlet series, J. Ind. math. Soc, 20 ( 1956), 47-87. | MR | Zbl
[18] - Spectral theory of automophic functions, Proc. Steldov Inst. Math, 153 ( 1981), 1-162. | MR | Zbl
[19] - Spectral functions, special functions and the Selberg zeta function, Commun. Math. Phys., 110 ( 1987), 439-465. | MR | Zbl
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