3 citations · 4 across the 4 of their papers we have counts for
4 papers
Discreteness of spectrum for the -Neumann Laplacian on manifolds of bounded geometry
Franz Berger
For a Hermitian holomorphic vector bundle over a Hermitian manifold, we consider the Dolbeault Laplacian with -Neumann boundary conditions, which is a self-adjoi…
Exponential decay of Bergman kernels on complete Hermitian manifolds with Ricci curvature bounded from below
Franz Berger, Gian Maria Dall'Ara, Duong Ngoc Son
Given a smooth positive measure on a complete Hermitian manifold with Ricci curvature bounded from below, we prove a pointwise Agmon-type bound for the corresponding Bergman ke…
On some spectral properties of the weighted -Neumann problem
Franz Berger, Friedrich Haslinger
We derive a necessary condition for compactness of the weighted -Neumann operator on the space , under the assumption that the correspon…
Essential spectra of tensor product Hilbert complexes, and the -Neumann problem on product manifolds
Franz Berger
We investigate tensor products of Hilbert complexes, in particular the (essential) spectrum of their Laplacians. It is shown that the essential spectrum of the Laplacian associated…