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Asymptotic spectrum of a complex Sturm-Liouville differential operator

Let $\varepsilon > 0$ and consider the (complex) Sturm–Liouville differential operator on $[0,1]$ given by $$ \mathcal{L}_\varepsilon f(x) = \varepsilon^2 f''(x) + i V(x) f(x), $$ with Neumann ...
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