-
1
-
-
0033474926
-
Zero sets of solutions to semilinear elliptic systems of first order
-
[B]. MR 1714341
-
[B] C. BÄR, Zero sets of solutions to semilinear elliptic systems of first order, Invent. Math. 138 (1999), 183-202. MR 1714341
-
(1999)
Invent. Math.
, vol.138
, pp. 183-202
-
-
Bär, C.1
-
2
-
-
0011346363
-
Fibrés déterminants, métriques de Quillen et dégénérescence de courbes
-
[BB]. MR 1064578
-
[BB] J.-M. BISMUT and J.-B. BOST, Fibrés déterminants, métriques de Quillen et dégénérescence de courbes, Acta Math. 165 (1990), 1 - 103. MR 1064578
-
(1990)
Acta Math.
, vol.165
, pp. 1-103
-
-
Bismut, J.-M.1
Bost, J.-B.2
-
3
-
-
0002427838
-
Meyer-Vietoris type formula for determinants of elliptic differential operators
-
[BFK]. MR 1165865
-
[BFK] D. BURGHELEA, L. FRIEDLANDER, and T. KAPPELER, Meyer-Vietoris type formula for determinants of elliptic differential operators, J. Funct. Anal. 107 (1992), 34-65. MR 1165865
-
(1992)
J. Funct. Anal.
, vol.107
, pp. 34-65
-
-
Burghelea, D.1
Friedlander, L.2
Kappeler, T.3
-
4
-
-
0036324811
-
Déterminant relatif et fonction Xi
-
[C]. MR 1890995
-
[C] G. CARRON, Déterminant relatif et fonction Xi, Amer. J. Math. 124 (2002), 307 - 352. MR 1890995
-
(2002)
Amer. J. Math.
, vol.124
, pp. 307-352
-
-
Carron, G.1
-
5
-
-
0001150826
-
Eigenvalue estimates for certain noncompact manifolds
-
[D]. MR 0767614
-
[D] H. DONNELLY, Eigenvalue estimates for certain noncompact manifolds, Michigan Math. J. 31 (1984), 349-357. MR 0767614
-
(1984)
Michigan Math. J.
, vol.31
, pp. 349-357
-
-
Donnelly, H.1
-
6
-
-
0041490890
-
Adiabatic limits of the η-invariants. The odd-dimensional Atiyah-Patodi-Singer problem
-
[DW]. MR 1137777
-
[DW] R. G. DOUGLAS and K. P. WOJCIECHOWSKI, Adiabatic limits of the η-invariants. The odd-dimensional Atiyah-Patodi-Singer problem, Comm. Math. Phys. 142 (1991), 139-168. MR 1137777
-
(1991)
Comm. Math. Phys.
, vol.142
, pp. 139-168
-
-
Douglas, R.G.1
Wojciechowski, K.P.2
-
7
-
-
84972495846
-
The spectral geometry of a Riemannian manifold
-
[G]. MR 0400315
-
[G] P. B. GILKEY, The spectral geometry of a Riemannian manifold, J. Differential Geometry 10 (1975), 601-618. MR 0400315
-
(1975)
J. Differential Geometry
, vol.10
, pp. 601-618
-
-
Gilkey, P.B.1
-
8
-
-
0000567144
-
ThÉorie spectrale de quelques variétés à bouts
-
[Gu]. MR 0985859
-
[Gu] L. GUILLOPÉ, ThÉorie spectrale de quelques variétés à bouts, Ann. Sci. École Norm. Sup. (4) 22 (1989), 137 - 160. MR 0985859
-
(1989)
Ann. Sci. École Norm. Sup. (4)
, vol.22
, pp. 137-160
-
-
Guillopé, L.1
-
9
-
-
0010568139
-
Analytic surgery and analytic torsion
-
[H]. MR 1651417
-
[H] A. HASSELL, Analytic surgery and analytic torsion, Comm. Anal. Geom. 6 (1998), 255-289. MR 1651417
-
(1998)
Comm. Anal. Geom.
, vol.6
, pp. 255-289
-
-
Hassell, A.1
-
10
-
-
0000752917
-
Analytic surgery and the accumulation of eigenvalues
-
[HMM]. MR 1362650
-
[HMM] A. HASSELL, R. MAZZEO, and R. B. MELROSE, Analytic surgery and the accumulation of eigenvalues, Comm. Anal. Geom. 3 (1995), 115-222. MR 1362650
-
(1995)
Comm. Anal. Geom.
, vol.3
, pp. 115-222
-
-
Hassell, A.1
Mazzeo, R.2
Melrose, R.B.3
-
11
-
-
0000994638
-
Determinants of Laplacians in exterior domains
-
[HZ]. MR 1722360
-
[HZ] A. HASSELL and S. ZELDITCH, Determinants of Laplacians in exterior domains, Internat. Math. Res. Notices 1999, no. 18, 971 - 1004. MR 1722360
-
Internat. Math. Res. Notices
, vol.1999
, Issue.18
, pp. 971-1004
-
-
Hassell, A.1
Zelditch, S.2
-
12
-
-
0004249446
-
-
[L], Addison-Wesley, Reading, Mass., MR 0409362
-
[L] S. LANG, Elliptic Functions, Addison-Wesley, Reading, Mass., 1973. MR 0409362
-
(1973)
Elliptic Functions
-
-
Lang, S.1
-
13
-
-
25744480573
-
Mayer-Vietoris formula for the determinant of a Laplace operator on an even-dimensional manifold
-
[Le1]. MR 1254845
-
[Le1] Y. LEE, Mayer-Vietoris formula for the determinant of a Laplace operator on an even-dimensional manifold, Proc. Amer. Math. Soc. 123 (1995), 1933-1940. MR 1254845
-
(1995)
Proc. Amer. Math. Soc.
, vol.123
, pp. 1933-1940
-
-
Lee, Y.1
-
14
-
-
0031281475
-
Mayer-Vietoris formula for determinants of elliptic operators of Laplace-Beltrami type (after Burghelea, Friedlander and Kappeler)
-
[Le2] _, MR 1485640
-
[Le2] _, Mayer-Vietoris formula for determinants of elliptic operators of Laplace-Beltrami type (after Burghelea, Friedlander and Kappeler), Differential Geom. Appl. 7 (1997), 325-340. MR 1485640
-
(1997)
Differential Geom. Appl.
, vol.7
, pp. 325-340
-
-
-
15
-
-
0242329744
-
Burghelea-Friedlander-Kappeler's gluing formula for the zeta-determinant and its applications to the adiabatic decompositions of the zeta-determinant and the analytic torsion
-
[Le3] _, MR 1990576
-
[Le3] _, Burghelea-Friedlander-Kappeler's gluing formula for the zeta-determinant and its applications to the adiabatic decompositions of the zeta-determinant and the analytic torsion, Trans. Amer. Math. Soc. 355 (2003), no. 10, 4093-4110. MR 1990576
-
(2003)
Trans. Amer. Math. Soc.
, vol.355
, Issue.10
, pp. 4093-4110
-
-
-
16
-
-
33745628930
-
Asymptotic expansion of the zeta-determinant of an invertible Laplacian on a streched manifold
-
[Le4] _, Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds (Roskilde, Denmark, 2003), Amer. Math. Soc., Providence. MR 2114485
-
[Le4] _, "Asymptotic expansion of the zeta-determinant of an invertible Laplacian on a streched manifold" in Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds (Roskilde, Denmark, 2003), Contemp. Math. 366, Amer. Math. Soc., Providence, 2005, 95-108. MR 2114485
-
(2005)
Contemp. Math.
, vol.366
, pp. 95-108
-
-
-
17
-
-
17244378814
-
Decomposition of the ζ-determinant for the Laplacian on manifolds with cylindrical end
-
[LP]. MR 2114158
-
[LP] P. LOYA and J. PARK, Decomposition of the ζ-determinant for the Laplacian on manifolds with cylindrical end, Illinois J. Math. 48 (2004), 1279 - 1303. MR 2114158
-
(2004)
Illinois J. Math.
, vol.48
, pp. 1279-1303
-
-
Loya, P.1
Park, J.2
-
18
-
-
0002080089
-
Analytic surgery and the eta invariant
-
[MM]. MR 1312019
-
[MM] R. R. MAZZEO and R. B. MELROSE, Analytic surgery and the eta invariant, Geom. Funct. Anal. 5 (1995), 14-75. MR 1312019
-
(1995)
Geom. Funct. Anal.
, vol.5
, pp. 14-75
-
-
Mazzeo, R.R.1
Melrose, R.B.2
-
19
-
-
0003261421
-
The atiyah-patodi-singer index theorem
-
[M], A. K. Peters, Wellesley, Mass., MR 1348401
-
[M] R. B. MELROSE, The Atiyah-Patodi-Singer Index Theorem, Res. Notes in Math. 4, A. K. Peters, Wellesley, Mass., 1993. MR 1348401
-
(1993)
Res. Notes in Math.
, vol.4
-
-
Melrose, R.B.1
-
20
-
-
4243813180
-
Manifolds with cusps of rank one
-
[Mu1], Springer, Berlin. MR 0891654
-
[Mu1] W. MÜLLER, Manifolds with Cusps of Rank One, Lecture Notes in Math. 1244, Springer, Berlin, 1987. MR 0891654
-
(1987)
Lecture Notes in Math.
, vol.1244
-
-
Müller, W.1
-
21
-
-
0011011367
-
2-index and resonances
-
[Mu2] _, Geometry and Analysis on Manifolds (Katata/ Kyoto, 1987), Springer, Berlin. MR 0961482
-
2-index and resonances" in Geometry and Analysis on Manifolds (Katata/ Kyoto, 1987), Lecture Notes in Math. 1339, Springer, Berlin, 1988, 203-211. MR 0961482
-
(1988)
Lecture Notes in Math.
, vol.1339
, pp. 203-211
-
-
-
22
-
-
84972537262
-
Eta invariants and manifolds with boundary
-
[Mu3] _, MR 1293657
-
[Mu3] _, Eta invariants and manifolds with boundary, J. Differential Geom. 40 (1994), 311-377. MR 1293657
-
(1994)
J. Differential Geom.
, vol.40
, pp. 311-377
-
-
-
23
-
-
0038294284
-
Relative zeta functions, relative determinants and scattering theory
-
[Mu4] _, MR 1617554
-
[Mu4] _, Relative zeta functions, relative determinants and scattering theory, Comm. Math. Phys. 192 (1998), 309-347. MR 1617554
-
(1998)
Comm. Math. Phys.
, vol.192
, pp. 309-347
-
-
-
24
-
-
0036381858
-
Adiabatic decomposition of the ζ-determinant of the Dirac Laplacian, I: The case of an invertible tangential operator
-
[PW1]. MR 1924472
-
[PW1] J. PARK and K. P. WOJCIECHOWSKI, Adiabatic decomposition of the ζ-determinant of the Dirac Laplacian, I: The case of an invertible tangential operator, Comm. Partial Differential Equations 27 (2002), 1407-1435. MR 1924472
-
(2002)
Comm. Partial Differential Equations
, vol.27
, pp. 1407-1435
-
-
Park, J.1
Wojciechowski, K.P.2
-
25
-
-
0036005459
-
Scattering theory and adiabatic decomposition of the ζ-determinant of the Dirac Laplacian
-
[PW2] _, MR 1892311
-
[PW2] _, Scattering theory and adiabatic decomposition of the ζ-determinant of the Dirac Laplacian, Math. Res. Lett. 9 (2002), 17-25. MR 1892311
-
(2002)
Math. Res. Lett.
, vol.9
, pp. 17-25
-
-
-
26
-
-
23844546253
-
Adiabatic decomposition of the ζ-determinant and Dirichlet to Neumann operator
-
[PW3] _, MR 2160038
-
[PW3] _, Adiabatic decomposition of the ζ-determinant and Dirichlet to Neumann operator, J. Geom. Phys. 55 (2005), 241 - 266. MR 2160038
-
(2005)
J. Geom. Phys.
, vol.55
, pp. 241-266
-
-
-
27
-
-
21844499474
-
The additivity of the η-invariant: The case of a singular tangential operator
-
[W]. MR 1329198
-
[W] K. P. WOJCIECHOWSKI, The additivity of the η-invariant: The case of a singular tangential operator, Comm. Math. Phys. 169 (1995), 315-327. MR 1329198
-
(1995)
Comm. Math. Phys.
, vol.169
, pp. 315-327
-
-
Wojciechowski, K.P.1
|