22 citations · 107 across the 27 of their papers we have counts for
5 papers · 1 filter
Quantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentials
Alexander Dicke, Christian Rose, Albrecht Seelmann +1
Recent (scale-free) quantitative unique continuation estimates for spectral subspaces of Schrödinger operators are extended to allow singular potentials such as certain -funct…
An abstract Logvinenko-Sereda type theorem for spectral subspaces
Michela Egidi, Albrecht Seelmann
We provide an abstract framework for a Logvinenko-Sereda type theorem, where the classical compactness assumption on the support of the Fourier transform is replaced by the assumpt…
The Laplacian on Cartesian products with mixed boundary conditions
Albrecht Seelmann
A definition of the Laplacian on Cartesian products with mixed boundary conditions using quadratic forms is proposed. Its consistency with the standard definition for homogeneous a…
On a minimax principle in spectral gaps
Albrecht Seelmann
The minimax principle for eigenvalues in gaps of the essential spectrum in the form presented by Griesemer, Lewis, and Siedentop in [Doc. Math. 4 (1999), 275--283] is adapted to co…
Unifying the treatment of indefinite and semidefinite perturbations in the subspace perturbation problem
Albrecht Seelmann
The variation of spectral subspaces for linear self-adjoint operators under an additive bounded perturbation is considered. The objective is to estimate the norm of the difference…