Le problème d'Atiyah-Patodi-Singer pour les variétés à bord générales (non cylindriques)
Journées équations aux dérivées partielles (1991), article no. 8, 11 p. 
@incollection{JEDP_1991____A8_0,
     author = {Gerd Grubb},
     title = {Le probl\`eme {d'Atiyah-Patodi-Singer} pour les vari\'et\'es \`a bord g\'en\'erales (non cylindriques)},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {8},
     pages = {1--11},
     publisher = {\'Ecole polytechnique},
     year = {1991},
     zbl = {0744.58069},
     mrnumber = {93a:58158},
     language = {fr},
     url = {https://proceedings.centre-mersenne.org/item/JEDP_1991____A8_0/}
}
TY  - JOUR
AU  - Gerd Grubb
TI  - Le problème d'Atiyah-Patodi-Singer pour les variétés à bord générales (non cylindriques)
JO  - Journées équations aux dérivées partielles
PY  - 1991
SP  - 1
EP  - 11
PB  - École polytechnique
UR  - https://proceedings.centre-mersenne.org/item/JEDP_1991____A8_0/
LA  - fr
ID  - JEDP_1991____A8_0
ER  - 
%0 Journal Article
%A Gerd Grubb
%T Le problème d'Atiyah-Patodi-Singer pour les variétés à bord générales (non cylindriques)
%J Journées équations aux dérivées partielles
%D 1991
%P 1-11
%I École polytechnique
%U https://proceedings.centre-mersenne.org/item/JEDP_1991____A8_0/
%G fr
%F JEDP_1991____A8_0
Gerd Grubb. Le problème d'Atiyah-Patodi-Singer pour les variétés à bord générales (non cylindriques). Journées équations aux dérivées partielles (1991), article  no. 8, 11 p. https://proceedings.centre-mersenne.org/item/JEDP_1991____A8_0/

[ABP]. M. F. Atiyah, R. Bott and V. K. Patodi, On the heat equation and the index theorem, Inventiones Math. 19 (1973), 279-330. | EuDML | MR | Zbl

[APS]. M. F. Atiyah, V. K. Patodi and I. M. Singer, Spectral asymmetry and Riemannian geometry, I, Math. Proc. Camb. Phil. Soc. 77 (1975), 43-69. | MR | Zbl

[BM]. L. Boutet De Monvel, Boundary problems for pseudo-differential operators, Acta Mat. 126 (1971), 11-51. | MR | Zbl

[BS]. J. Brüning and R. Seeley, An index theorem for first order regular singular operators, Amer. J. Math. 110 (1988), 659-714. | MR | Zbl

[C]. J. Cheeger, Spectral geometry of singular Riemannian spaces, J. Diff. Geom. 18 (1983), 575-657. | MR | Zbl

[Ge]. E. Getzler, A short proof of the local Atiyah-Singer index theorem, Topology 25 (1986), 111-117. | MR | Zbl

[Gi1]. P. B. Gilkey, The boundary integrand in the formula for the signature and Euler characteristic of a Riemannian manifold with boundary, Adv. in Math. 15 (1975), 334-360. | MR | Zbl

[Gi2]. P. B. Gilkey, On the index of geometrical operators for Riemannian manifolds with boundary, (in preparation). | Zbl

[Gre]. P. Greiner, An asymptotic expansion for the heat equation, Arch. Rat. Mech. Anal. 41 (1971), 163-218. | MR | Zbl

[G1]. G. Grubb, «Functional Calculus of Pseudo-Differential Boundary Problems», Progress in Math., Vol. 65, Birkhäuser, Boston, 1986. | MR | Zbl

[G2]. G. Grubb, Heat operator trace expansions and index for general Atiyah-Patodi-Singer boundary problems, Copenhagen Univ. Math. Dept. Preprint Series 1991 no. 9.

[MP]. S. Minakshisundaram and Å. Pleijel, Some properties of the eigenfunctions of the Laplace operator on Riemannian manifolds, Canada J. Math. 1 (1949), 242-256. | MR | Zbl

[R]. J. Roe, «Elliptic Operators, Topology and Asymptotic Methods», Pitman Research Monograph 179, Longman Scientific and Technical, New York, 1988. | MR | Zbl

[S1]. R. T. Seeley, Complex powers of an elliptic operator, AMS Proc. Symp. Pure Math. X (1967), 288-307, AMS, Providence R. I. | MR | Zbl

[S2]. R. T. Seeley, Analytic extension of the trace associated with elliptic boundary problems, Amer. J. Math. 91 (1969), 963-983. | MR | Zbl

[S3]. R. T. Seeley, Topics in pseudo-differential operators, «CIME Conference on Pseudo-Differential Operators 1968,» Edizioni Cremonese, Roma, 1969, pp. 169-305. | MR