1 citations · 1 across the 4 of their papers we have counts for
4 papers
Schrödinger operators with non-integer power-law potentials and Lie-Rinehart algebras
Ivan Beschastnyi, Catarina Carvalho, Victor Nistor +1
We study Schrödinger operators with potentials that have power-law growth (not necessarily polynomial) at 0 and at using methods of Lie theory (Lie-Rinehar…
Analysis on noncompact manifolds and Index Theory: Fredholm conditions and Pseudodifferential operators
Ivan Beschastnyi, Catarina Carvalho, Victor Nistor +1
We provide Fredholm conditions for compatible differential operators on certain Lie manifolds (that is, on certain possibly non-compact manifolds with nice ends). We discuss in mor…
-Local type conditions for the -crossed product and local trajectories
M. Amélia Bastos, Catarina C. Carvalho, Manuel G. Dias
The local trajectories method establishes invertibility in algebras $\mathcal{B}= \alg(\mathcal{A}, U_G)$, for a unital -algebra with a non-trivial center, and a…
Cobordism invariance of the family index
Catarina Carvalho
We give a K-theory proof of the invariance under cobordism of the family index. We consider elliptic pseudodifferential families on a continuous fibre bundle with smooth fibres ove…