12 citations · 24 across the 2 of their papers we have counts for
2 papers
math.SP2008★ 12 cited
Spectral gaps of the one-dimensional Schrödinger operators with singular periodic potentials
Vladimir Mikhailets, Volodymyr Molyboga
The behaviour of the lengths of spectral gaps of the Hill-Schrödinger operators S(q)u=-u''+q(x)u,\quad u\in \mathrm{Dom}(S(q)) with real-valued 1-peri…
math.FA2007★ 12 cited
Singularly perturbed periodic and semiperiodic differential operators
V. A. Mikhailets, V. M. Molyboga
Qualitative and spectral properties of the form-sums S_{\pm}(V):=D_{\pm}^{2m}\dotplus V(x),\quad m\in \mathbb{N}, in the Hilbert space are studied. Here the periodic $…