On Compressed Resolvents of Schrödinger Operators with Complex Potentials
英文摘要：
The compression of the resolvent of a non-self-adjoint Schrödinger operator $-Δ+V$ onto a subdomain $Ω\subset\mathbb R^n$ is expressed in a Krein-Naimark type formula, where the Dirichlet realization on $Ω$, the Dirichlet-to-Neumann maps, and certain solution operators of closely related boundary value problems on $Ω$ and $\mathbb R^n\setminus\overlineΩ$ are being used. In a more abstract operator theory framework this topic is closely connected and very much inspired by the so-called coupling method that has been developed for the self-adjoint case by Henk de Snoo and his coauthors.
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