3 citations · 4 across the 11 of their papers we have counts for
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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…
Self-adjointness criteria and self-adjoint extensions of the Laplace-Beltrami operator on -Grushin manifolds
Ivan Beschastnyi, Hadrian Quan
The Grushin plane serves as one of the simplest examples of a sub-Riemannian manifold whose distribution is of non-constant rank. Despite the fact that the singular set where this…
Embedding the Grushin Cylinder in and Schroedinger evolution
Ivan Beschastnyi, Ugo Boscain, Daniele Cannarsa +1
We consider the evolution of a free quantum particle on the Grushin cylinder, under different type of quantizations. In particular we are interested to understand if the particle c…