论文标题

通过子词的近似

Spectral approximation of generalized Schrödinger operators via approximation of subwords

论文作者

Gabel, Fabian, Gallaun, Dennis, Großmann, Julian, Lindner, Marko, Ukena, Riko

论文摘要

我们展示了纯粹基于电势的有限子词的标准,以保证伪斑率的光谱包含以及在离散线上或半线上的广义schrödingeroberators的Hausdorff近似。实际上,我们的结果既不限于Schrödinger或自我伴侣操作员,也不限于Hilbert Space或1d。

We demonstrate criteria, purely based on finite subwords of the potential, to guarantee spectral inclusion as well as Hausdorff approximation of pseudospectra or even spectra of generalized Schrödinger operators on the discrete line or half-line. In fact, our results are neither limited to Schrödinger or self-adjoint operators, nor to Hilbert space or 1D.

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