37 citations · 202 across the 38 of their papers we have counts for
7 papers · 1 filter
Uncertainty principles and lower bounds for Schrödinger operators
Albrecht Böttcher, Peter Stollmann, Martin Tautenhahn
We prove that two different abstract quantitative uncertainty principles are equivalent to the strict positivity of the associated abstract Schrö\-din\-ger operators. We also discu…
On the decomposition principle and a Persson type theorem for general regular Dirichlet forms
Daniel Lenz, Peter Stollmann
We present a decomposition principle for general regular Dirichlet forms satisfying a spatial local compactness condition. We use the decomposition principle to derive a Persson ty…
Absence of absolutely continuous spectrum for the Kirchhoff Laplacian on radial trees
Pavel Exner, Christian Seifert, Peter Stollmann
In this paper we prove that the existence of absolutely continuous spectrum of the Kirchhoff Laplacian on a radial metric tree graph together with a finite complexity of the geomet…
Essential self-adjointness, generalized eigenforms, and spectra for the -Neumann problem on -manifolds
Joe J. Perez, Peter Stollmann
Let be a strongly pseudoconvex complex manifold which is also the total space of a principal -bundle with a Lie group and compact orbit space . Here we investi…
Generalized eigenfunctions and spectral theory for strongly local Dirichlet forms
Daniel Lenz, Peter Stollmann, Ivan Veselic
We present an introduction to the framework of strongly local Dirichlet forms and discuss connections between the existence of certain generalized eigenfunctions and spectral prope…
Compactness of Schrödinger semigroups
Daniel Lenz, Peter Stollmann, Daniel Wingert
This paper is concerned with emptyness of the essential spectrum, or equivalently compactness of the semigroup, for perturbations of selfadjoint operators that are bounded below (o…