F. Berger

most citedEssential spectra of tensor product Hilbert complexes, and the

\partial

-Neumann problem on product manifolds

3 citations · 4 across the 4 of their papers we have counts for

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math.CV2018

Discreteness of spectrum for the $\partial$ -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 $\partial$ -Neumann boundary conditions, which is a self-adjoi…

math.CV2018★ 1 cited

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 $μ$ on a complete Hermitian manifold with Ricci curvature bounded from below, we prove a pointwise Agmon-type bound for the corresponding Bergman ke…

math.CV2015

On some spectral properties of the weighted $\partial$ -Neumann problem

Franz Berger, Friedrich Haslinger

We derive a necessary condition for compactness of the weighted $\partial$ -Neumann operator on the space $L^{2} (C^{n}, e^{- φ})$ , under the assumption that the correspon…

Discreteness of spectrum for the ∂-Neumann Laplacian on manifolds of bounded geometry

Exponential decay of Bergman kernels on complete Hermitian manifolds with Ricci curvature bounded from below

On some spectral properties of the weighted ∂-Neumann problem

Discreteness of spectrum for the $\partial$ -Neumann Laplacian on manifolds of bounded geometry

On some spectral properties of the weighted $\partial$ -Neumann problem