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We study the spectrum of the one-dimensional Schr\"{o}dinger operator $H_0$with a matrix singular distributional potential $q=Q'$ where $Q\inL^{2}_{\mathrm{loc}}(\mathbb{R},\mathbb{C}^{m})$. We obtain generalizations ofIsmagilov's localization principles, which give necessary and sufficientconditions for the spectrum of $H_0$ to be bounded below and discrete.

Localization principles for Schr\"odinger operator with a singular matrix potential