@article{JEDP_1991____A8_0, author = {Grubb, Gerd}, title = {Le probl\`eme {d'Atiyah-Patodi-Singer} pour les vari\'et\'es \`a bord g\'en\'erales (non cylindriques)}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {8}, pages = {1--11}, publisher = {Ecole polytechnique}, year = {1991}, mrnumber = {93a:58158}, zbl = {0744.58069}, language = {fr}, url = {http://www.numdam.org./item/JEDP_1991____A8_0/} }
TY - JOUR AU - Grubb, Gerd 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 - Ecole polytechnique UR - http://www.numdam.org./item/JEDP_1991____A8_0/ LA - fr ID - JEDP_1991____A8_0 ER -
Grubb, Gerd. 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. http://www.numdam.org./item/JEDP_1991____A8_0/
[ABP]. On the heat equation and the index theorem, Inventiones Math. 19 (1973), 279-330. | EuDML | MR | Zbl
, and ,[APS]. Spectral asymmetry and Riemannian geometry, I, Math. Proc. Camb. Phil. Soc. 77 (1975), 43-69. | MR | Zbl
, and ,[BM]. Boundary problems for pseudo-differential operators, Acta Mat. 126 (1971), 11-51. | MR | Zbl
,[BS]. An index theorem for first order regular singular operators, Amer. J. Math. 110 (1988), 659-714. | MR | Zbl
and ,[C]. Spectral geometry of singular Riemannian spaces, J. Diff. Geom. 18 (1983), 575-657. | MR | Zbl
,[Ge]. A short proof of the local Atiyah-Singer index theorem, Topology 25 (1986), 111-117. | MR | Zbl
,[Gi1]. 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]. On the index of geometrical operators for Riemannian manifolds with boundary, (in preparation). | Zbl
,[Gre]. An asymptotic expansion for the heat equation, Arch. Rat. Mech. Anal. 41 (1971), 163-218. | MR | Zbl
,[G1]. «Functional Calculus of Pseudo-Differential Boundary Problems», Progress in Math., Vol. 65, Birkhäuser, Boston, 1986. | MR | Zbl
,[G2]. Heat operator trace expansions and index for general Atiyah-Patodi-Singer boundary problems, Copenhagen Univ. Math. Dept. Preprint Series 1991 no. 9.
,[MP]. Some properties of the eigenfunctions of the Laplace operator on Riemannian manifolds, Canada J. Math. 1 (1949), 242-256. | MR | Zbl
and ,[R]. «Elliptic Operators, Topology and Asymptotic Methods», Pitman Research Monograph 179, Longman Scientific and Technical, New York, 1988. | MR | Zbl
,[S1]. Complex powers of an elliptic operator, AMS Proc. Symp. Pure Math. X (1967), 288-307, AMS, Providence R. I. | MR | Zbl
,[S2]. Analytic extension of the trace associated with elliptic boundary problems, Amer. J. Math. 91 (1969), 963-983. | MR | Zbl
,[S3]. Topics in pseudo-differential operators, «CIME Conference on Pseudo-Differential Operators 1968,» Edizioni Cremonese, Roma, 1969, pp. 169-305. | MR
,