Pseudodifferential calculus on manifolds with corners and groupoids

Proceedings of the American Mathematical Society

Volumn 127, Issue 10, 1999, Pages 2871-2881

  Monthubert, Bertrand ^a  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

algebras; C; Groupoids; Manifolds with corners; Pseudodifferential calculus

Indexed keywords

EID: 22844454277     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-04850-9     Document Type: Article

References (8)

1. M. F. Atiyah and I. M. Singer, The index of elliptic operators, I, Annals of Math. 87 (1968), 484-530. MR 38:5243
2. Alain Connes, Noncommutative Geometry, Academic Press, Inc., 1994. MR 95j:46063
3. Lars Hörmander, The analysis of linear partial differential operators III: Pseudo-differential operators, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 274, Springer-Verlag, Berlin, 1994.
4. Richard B. Melrose, The Atiyah-Patodi-Singer index theorem, A. K. Peters, 1993. MR 96g:58180
5. k-equivariant index theorem, Preprint.
6. Bertrand Monthubert and François Pierrot, Indice analytique et groupoïdes de lie, C.R. Acad. Sci. Paris Ser. I, 325, No. 2, 193-198 (1997).
7. Victor Nistor, Alan Weinstein, and Ping Xu, Pseudodifferential operators on differential groupoids, Preprint.
8. A. Weinstein, Groupoids: unifying internal and external symmetry, Notices Amer. Math. Soc. 43 (1996), 744-752. MR 97f:20072