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 OALib Journal期刊 ISSN: 2333-9721 费用：99美元

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Mathematics  2013

# Remarks on Schr？dinger operators with singular matrix potentials

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Abstract:

In this paper the asymmetric generalization of the Glazman-Povzner-Wienholtz theorem is proved for one-dimensional Schr\"{o}dinger operators with strongly singular matrix potentials from the space $H_{loc}^{-1}(\mathbb{R}, \mathbb{C}^{m\times m})$. This result is new in the scalar case as well.

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