V. Nistor

Publications
Influence

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

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

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

Analysis of geometric operators on open manifolds: A groupoid approach

R. Lauter, V. Nistor
Mathematics
16 August 2000

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

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

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

Pseudodifferential operators on manifolds with a Lie structure at infinity

B. Ammann, R. Lauter, V. Nistor
Physics, Mathematics
3 April 2003

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

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

B. Ammann, R. Lauter, V. Nistor
Computer Science, Mathematics
Int. J. Math. Math. Sci.
22 January 2002

We study a generalization of the geodesic spray and give conditions for noncomapct manifolds with a Lie structure at infinity to have positive injectivity radius. Expand

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

We provide a construction of a new sequence of finite dimensional subspaces Vn such that where f ∈ Hm−1(ℙ) is arbitrary and C is a constant that depends only on ℙ and not on n. Expand

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

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