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Pseudodifferential operators on differential groupoids

- V. Nistor, A. Weinstein, P. Xu
- Mathematics
- 11 February 1997

We construct an algebra of pseudodifferential operators on each groupoid in a class that generalizes differentiable groupoids to allow manifolds with corners. We show that this construction… Expand

206 15- PDF

Group cohomology and the cyclic cohomology of crossed products

- V. Nistor
- Mathematics
- 1 December 1990

Definite results are obtained in the conditions: the group G is torsion free and the class ~h of the extension 0 ~ Zh ~ G h --* N h --+ 0 in H2(Nh, ) @ k is niipotent (here Gh, for h~ G, stands for… Expand

92 12

Homology of pseudodifferential operators I. Manifolds with boundary

- R. Melrose, V. Nistor
- Mathematics, Physics
- 21 June 1996

The Hochschild and cyclic homology groups are computed for the algebra of `cusp' pseudodifferential operators on any compact manifold with boundary. The index functional for this algebra is… Expand

105 12- PDF

Analysis of geometric operators on open manifolds: A groupoid approach

The first five sections of this paper are a survey of algebras of pseudodifferential operators on groupoids. We thus review differentiable groupoids, the definition of pseudodifferential operators on… Expand

78 9- PDF

Pseudodifferential Analysis on Continuous Family Groupoids

- R. Lauter, Bertrand Monthubert, V. Nistor
- Mathematics
- 2000

We study properties and representations of the convo- lution algebra and the algebra of pseudodieren tial operators asso- ciated to a continuous family groupoid. We show that the study of… Expand

87 8- PDF

Interface and mixed boundary value problems on n-dimensional polyhedral domains

- B. Constantin, A. Mazzucato, V. Nistor, L. Zikatanov
- Mathematics
- 2010

Let � 2 Z+ be arbitrary. We prove a well-posedness result for mixed boundary value/interface problems of second-order, positive, strongly elliptic operators in weighted Sobolev spaces K �() on a… Expand

51 6- PDF

Pseudodifferential operators on manifolds with a Lie structure at infinity

We define and study an algebra Ψ ∞,0,V (M0) of pseudodifferential operators canonically associated to a noncompact, Riemannian manifold M0 whose geometry at infinity is described by a Lie algebra of… Expand

81 6- PDF

On the geometry of Riemannian manifolds with a Lie structure at infinity

TLDR

72 6- PDF

Improving the rate of convergence of ‘high order finite elements’ on polygons and domains with cusps

- C. Bacuta, V. Nistor, L. Zikatanov
- Mathematics, Computer Science
- Numerische Mathematik
- 1 April 2005

TLDR

81 5- PDF

GROUPOIDS AND THE INTEGRATION OF LIE ALGEBROIDS

- V. Nistor
- Mathematics
- 13 April 2000

We show that a Lie algebroid on a stratified manifold is integrable if, and only if, its restriction to each strata is integrable. These results allow us to construct a large class of algebras of… Expand

55 5- PDF

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