3 papers
math.SP2024
The Coherent State Transform and an Application to the Hyperbolic Laplacian
Timon Ruben Weinmann
We review some basic ideas from the theory of overfilling families and use the special case of coherent states to prove Weyl asymptotics for the euclidean Laplacian and the hyperbo…
math.DG2023
Lieb--Thirring inequalities on manifolds with constant negative curvature
Alexei Ilyin, Ari Laptev, Timon Weinmann
In this short note we prove Lieb--Thirring inequalities on manifolds with negative constant curvature. The discrete spectrum appears below the continuous spectrum $(d-1)^2/4, \inft…
math.FA2019
Self-Adjoint Extensions of Bipartite Hamiltonians
Daniel Lenz, Timon Weinmann, Melchior Wirth
We compute the deficiency spaces of operators of the form , for symmetric and self-adjoint . This enables us to construct se…