Spectral gaps of the one-dimensional Schrödinger operators with singular periodic potentials

Vladimir Mikhailets, Volodymyr Molyboga

The behaviour of the lengths of spectral gaps $\{{\gamma }_n(q){\}}_{n=1}^{\infty }$ of the Hill-Schrödinger operators S(q)u=-u''+q(x)u,\quad u\in \mathrm{Dom}(S(q)) with real-valued 1-peri…