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math.OA2002★ 3 cited
Complex powers and non-compact manifolds
Bernd Ammann, Robert Lauter, Victor Nistor +1
We study the complex powers of an elliptic, strictly positive pseudodifferential operator using an axiomatic method that combines the approaches of Guillemin and Seeley…
math.OA2001
Spectral invariance for certain algebras of pseudodifferential operators
Robert Lauter, Bertrand Monthubert, Victor Nistor
We construct algebras of pseudodifferential operators on a continuous family groupoid G that are closed under holomorphic functional calculus, contain the algebra of all pseudodiff…
math.OA2000
Homology of complete symbols and non-commutative geometry
Moulay-Tahar Benameur, Victor Nistor
We identify the periodic cyclic homology of the algebra of complete symbols on a differential groupoid $\GR$ in terms of the cohomology of $S^*(\GR)$, the cosphere bundle of $A(\GR…