42 citations · 106 across the 13 of their papers we have counts for
18 papers
On the domains of Bessel operators
Jan Dereziński, Vladimir Georgescu
We consider the Schrödinger operator on the halfline with the potential , often called the Bessel operator. We assume that is complex. We study the do…
1-dimensional Schrodinger operators with complex potentials
Jan Dereziński, Vladimir Georgescu
We discuss 1-dimensional Schrodinger operators with complex and locally integrable potentials that may have an arbitrary behavior at (finite or infinite) endpoints. The main tool o…
On the structure of the -algebra generated by the field operators and spectral analysis of the operators affiliated to it
Vladimir Georgescu, Andrei Iftimovici
We show that the -algebra generated by the field operators associated to a symplectic space is graded by the semilattice of all finite dimensional subspaces of . If …
On the essential spectrum of elliptic differential operators
Vladimir Georgescu
Let be a -algebra of bounded uniformly continuous functions on such that is stable under translations and contains the continuous…
On the Essential Spectrum of N-Body Hamiltonians with Asymptotically Homogeneous Interactions
Vladimir Georgescu, Victor Nistor
We determine the essential spectrum of Hamiltonians with N-body type interactions that have radial limits at infinity. This extends the HVZ-theorem, which treats perturbations of t…
Abstract theory of pointwise decay with applications to wave and Schrödinger equations
Vladimir Georgescu, Manuel Larenas, Avy Soffer
We prove pointwise in time decay estimates via an abstract conjugate operator method. This is then applied to a large class of dispersive equations.