SCOPUS 정보 검색 플랫폼

Duke Mathematical Journal

Volumn 129, Issue 1, 2005, Pages 1-37

Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds

(1) Guillarmou, Colin a

a UNIVERSITÉ DE NANTES (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 24144449996 PISSN: 00127094 EISSN: None Source Type: Journal
DOI: 10.1215/S0012-7094-04-12911-2 Document Type: Article

Times cited : (137)

References (26)

1
- 0040494754
- On the spectral theory of the Laplacian on non-compact hyperbolic manifolds
- (Saint-Jean de Monts, 1987), Éole Polytech., Palaiseau, exp. no. XVII. MR 0920012
- S. AGMON, "On the spectral theory of the Laplacian on non-compact hyperbolic manifolds" in Journées "Equations aux dérivées partielles" (Saint-Jean de Monts, 1987), Éole Polytech., Palaiseau, 1987, exp. no. XVII. MR 0920012
- (1987) Journées "Equations aux Dérivées Partielles"
- Agmon, S.¹

2
- 0007686041
- A perturbation theory of resonances
- MR 1639212
- _, A perturbation theory of resonances, Comm. Pure. Appl. Math. 51 (1998), 1255-1309. MR 1639212
- (1998) Comm. Pure. Appl. Math. , vol.51 , pp. 1255-1309

3
- 0003824052
- preprint, arXiv:math.DG-GA/9711016
- D. BORTHWICK, Scattering theory and deformations of asymptotically hyperbolic manifolds, preprint, arXiv:math.DG-GA/9711016
- Scattering Theory and Deformations of Asymptotically Hyperbolic Manifolds
- Borthwick, D.¹

4
- 0035993972
- Scattering poles for asymptotically hyperbolic manifolds
- MR 1867379
- D. BORTHWICK and P. PERRY, Scattering poles for asymptotically hyperbolic manifolds, Trans. Amer. Math. Soc. 354 (2002), 1215-1231. MR 1867379
- (2002) Trans. Amer. Math. Soc. , vol.354 , pp. 1215-1231
- Borthwick, D.¹ Perry, P.²

5
- 0033422076
- Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group
- MR 1689342
- U. BUNKE and M. OLBRICH, Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group, Ann. of Math (2) 149 (1999), 627-689. MR 1689342
- (1999) Ann. of Math (2) , vol.149 , pp. 627-689
- Bunke, U.¹ Olbrich, M.²

6
- 0141749116
- Sharp bounds on the number of resonances for conformally compact manifolds with constant negative curvature near infinity
- MR 2001180
- C. CUEVAS and G. VODEV, Sharp bounds on the number of resonances for conformally compact manifolds with constant negative curvature near infinity, Commun. Partial Differential Equations 28 (2003), 1685-1705. MR 2001180
- (2003) Commun. Partial Differential Equations , vol.28 , pp. 1685-1705
- Cuevas, C.¹ Vodev, G.²

7
- 0001877030
- Volume and area renormalizations for conformally compact Einstein metrics
- The Proceedings of the 19th Winter School "Geometry and PhysicsSrní, Czech Republic
- C. R. GRAHAM, "Volume and area renormalizations for conformally compact Einstein metrics" in The Proceedings of the 19th Winter School "Geometry and Physics" (Srní, Czech Republic, 1999), Rend. Circ. Mat. Palermo (2), Suppl. 63
- (1999) Rend. Circ. Mat. Palermo (2) , Issue.SUPPL. 63
- Graham, C.R.¹

8
- 33645603434
- MR 1758076
- Cir. Mat. Palermo, Palermo, 2000, 31-42. MR 1758076
- (2000) Cir. Mat. Palermo, Palermo , pp. 31-42

9
- 0037596450
- Scattering matrix in conformal geometry
- MR 1965361
- C. R. GRAHAM and M. ZWORSKI, Scattering matrix in conformal geometry, Invent. Math. 152 (2003), 89-118. MR 1965361
- (2003) Invent. Math. , vol.152 , pp. 89-118
- Graham, C.R.¹ Zworski, M.²

10
- 33645586944
- Ph.D. dissertation, Université de Nantes, Nantes
- C. GUILLARMOU, Résonances sur les variétés asymptotiquement hyperboliques, Ph.D. dissertation, Université de Nantes, Nantes, 2004, http://tel.ccsd.cnrs.fr/
- (2004) Résonances sur les Variétés Asymptotiquement Hyperboliques
- Guillarmou, C.¹

11
- 0002814614
- Fonctions zêta de Selberg et surfaces de géométrie finie
- Zeta Functions in Geometry (Tokyo, 1990), Kinokuniya, Tokyo, MR 1210782
- L. GUILLOPÉ, "Fonctions zêta de Selberg et surfaces de géométrie finie" in Zeta Functions in Geometry (Tokyo, 1990), Adv. Stud. Pure Math. 21, Kinokuniya, Tokyo, 1992, 33-70. MR 1210782
- (1992) Adv. Stud. Pure Math. , vol.21 , pp. 33-70
- Guillope, L.¹

12
- 77950036040
- Polynomial bounds on the number of resonances for some complete spaces of constant negative curvature near infinity
- MR 1344252
- L. GUILLOPÉ and M. ZWORSKI, Polynomial bounds on the number of resonances for some complete spaces of constant negative curvature near infinity, Asymptot. Anal. 11 (1995), 1-22. MR 1344252
- (1995) Asymptot. Anal. , vol.11 , pp. 1-22
- Guillope, L.¹ Zworski, M.²

13
- 0001081330
- Upper bounds on the number of resonances for non-compact complete Riemann surfaces
- MR 1327183
- _, Upper bounds on the number of resonances for non-compact complete Riemann surfaces, J. Funct. Anal. 129 (1995), 364-389. MR 1327183
- (1995) J. Funct. Anal. , vol.129 , pp. 364-389

14
- 0031486229
- Scattering asymptotics for Riemann surfaces
- MR 1454705
- _, Scattering asymptotics for Riemann surfaces, Ann. of Math. (2) 145 (1997), 597-660. MR 1454705
- (1997) Ann. of Math. (2) , vol.145 , pp. 597-660

15
- 33645606062
- The analysis of partial differential operators, III: Pseudodifferential operators, grundlehren
- Springer, Berlin, MR 0781536
- L. HÖRMANDER, The Analysis of Partial Differential Operators, III: Pseudodifferential Operators, Grundlehren Math. Wiss. 274, Springer, Berlin, 1985. MR 0781536
- (1985) Math. Wiss. , vol.274
- Hörmander, L.¹

16
- 0003060259
- Inverse scattering on asymptotically hyperbolic manifolds
- MR 1756569
- M. S. JOSHI and A. SÁ BARRETO, Inverse scattering on asymptotically hyperbolic manifolds, Acta Math. 184 (2000), 41-86. MR 1756569
- (2000) Acta Math. , vol.184 , pp. 41-86
- Joshi, M.S.¹ Sá Barreto, A.²

17
- 84972529982
- The Hodge cohomology of a conformally compact metric
- MR 0961517
- R. R. MAZZEO, The Hodge cohomology of a conformally compact metric, J. Differential Geom. 28 (1988), 309-339. MR 0961517
- (1988) J. Differential Geom. , vol.28 , pp. 309-339
- Mazzeo, R.R.¹

18
- 0002050064
- Unique continuation at infinity and embedded eigenvalues for asymptotically hyperbolic manifolds
- MR 1087800
- _, Unique continuation at infinity and embedded eigenvalues for asymptotically hyperbolic manifolds, Amer. J. Math. 113 (1991), 25-45. MR 1087800
- (1991) Amer. J. Math. , vol.113 , pp. 25-45

19
- 0001189870
- Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
- MR 0916753
- R. R. MAZZEO and R. B. MELROSE, Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature, J. Funct. Anal. 75 (1987), 260-310. MR 0916753
- (1987) J. Funct. Anal. , vol.75 , pp. 260-310
- Mazzeo, R.R.¹ Melrose, R.B.²

20
- 0007031677
- in preparation, preprint
- R. B. MELROSE, Differential analysis on manifolds with corners, in preparation, preprint, http://www-math.mit.edu/~rbm/
- Differential Analysis on Manifolds with Corners
- Melrose, R.B.¹

21
- 0001167134
- The divisor of Selberg's zeta function for Kleinian groups
- MR 1813434
- S. J. PATTERSON and P. A. PERRY, The divisor of Selberg's zeta function for Kleinian groups, Duke Math. J. 106 (2001), 321-390. MR 1813434
- (2001) Duke Math. J. , vol.106 , pp. 321-390
- Patterson, S.J.¹ Perry, P.A.²

22
- 0003114897
- The Laplace operator on a hyperbolic manifold, II: Eisenstein series and the scattering matrix
- MR 0998472
- P. A. PERRY, The Laplace operator on a hyperbolic manifold, II: Eisenstein series and the scattering matrix, J. Reine Angew. Math. 398 (1989), 67-91. MR 0998472
- (1989) J. Reine Angew. Math. , vol.398 , pp. 67-91
- Perry, P.A.¹

23
- 0005494461
- The Selberg zeta function and a local trace formula for Kleinian groups
- MR 1068802
- _, The Selberg zeta function and a local trace formula for Kleinian groups, J. Reine Angew. Math. 410 (1990), 116-152. MR 1068802
- (1990) J. Reine Angew. Math. , vol.410 , pp. 116-152

24
- 27744463549
- Radiation fields, scattering and inverse scattering on asymptotically hyperbolic manifolds
- to appear in preprint, arXiv:math.AP/0312108
- A. SÁ BARRETO, Radiation fields, scattering and inverse scattering on asymptotically hyperbolic manifolds, to appear in Duke Math. J. 129, preprint, arXiv:math.AP/0312108
- Duke Math. J. , vol.129
- Sá Barreto, A.¹

25
- 0031539570
- Distribution of resonances for spherical black holes
- MR 1432814
- A. SÁ BARRETO and M. ZWORSKI, Distribution of resonances for spherical black holes, Math. Res. Lett. 4 (1997), 103-121. MR 1432814
- (1997) Math. Res. Lett. , vol.4 , pp. 103-121
- Sá Barreto, A.¹ Zworski, M.²

26
- 0003547220
- Pseudodifferential operators and spectral theory
- Springer, Berlin, MR 0883081
- M. A. SHUBIN, Pseudodifferential Operators and Spectral Theory, Springer Ser. Soviet Math., Springer, Berlin, 1987. MR 0883081
- (1987) Springer Ser. Soviet Math.
- Shubin, M.A.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.