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Autor:
Berger, Franz
For a Hermitian holomorphic vector bundle over a Hermitian manifold, we consider the Dolbeault Laplacian with $\overline\partial$-Neumann boundary conditions, which is a self-adjoint operator on the space of square-integrable differential forms with
Externí odkaz:
http://arxiv.org/abs/1808.02730
Publikováno v:
Complex Variables and Elliptic Equations, Volume 65, Issue 12 (2020), 2086-2111
Given a smooth positive measure $\mu$ on a complete Hermitian manifold with Ricci curvature bounded from below, we prove a pointwise Agmon-type bound for the corresponding Bergman kernel, under rather general conditions involving the coercivity of an
Externí odkaz:
http://arxiv.org/abs/1804.07540
Publikováno v:
In Atmospheric and Oceanic Science Letters September 2021 14(5)
Autor:
Berger, Franz, Haslinger, Friedrich
Publikováno v:
Kyoto J. Math. 59, no. 2 (2019), 441-453
We derive a necessary condition for compactness of the weighted $\overline\partial$-Neumann operator on the space $L^2(\mathbb C^n,e^{-\varphi})$, under the assumption that the corresponding weighted Bergman space of entire functions has infinite dim
Externí odkaz:
http://arxiv.org/abs/1509.08741
Autor:
Berger, Franz
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 to the tensor product complex is computable in terms of the spectra o
Externí odkaz:
http://arxiv.org/abs/1508.01749