Hill's potentials in Hörmander spaces and their spectral gaps

Vladimir Mikhailets, Volodymyr Molyboga

In the paper we study the behaviour of the lengths of spectral gaps $\{{\gamma }_q(n){\}}_{n\in \mathbb{N}}$ in a continuous spectrum of the Hill-Schrödinger operators $$S(q)u=-u"+q(x)u,\q…