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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…
Homology of pseudodifferential operators I. Manifolds with boundary
- R. Melrose, V. Nistor
- Mathematics
- 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…
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…
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…
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…
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…
Improving the rate of convergence of ‘high order finite elements’ on polygons and domains with cusps
- C. Bacuta, V. Nistor, L. Zikatanov
- MathematicsNumerische Mathematik
- 1 April 2005
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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…
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…
On the geometry of Riemannian manifolds with a Lie structure at infinity
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