2 citations · 6 across the 7 of their papers we have counts for
4 papers
The wave model of metric spaces
M. I. Belishev, S. A. Simonov
Let be a metric space, denote the metric neighborhood of the set of the radius ; be the lattice of open sets in with the partial order…
Wave model of the Sturm-Liouville operator on the half-line
M. I. Belishev, S. A. Simonov
The notion of the wave spectrum of a semi-bounded symmetric operator was introduced by one of the authors in 2013. The wave spectrum is a topological space determined by the operat…
Zeroes of the spectral density of the Schroedinger operator with the slowly decaying Wigner-von Neumann potential
Sergey Simonov
We consider the Schrödinger operator on the half-line with a periodic background potential and a perturbation which consists of two parts: a summable potential and t…
Zeroes of the spectral density of discrete Schroedinger operator with Wigner-von Neumann potential
Sergey Simonov
We consider a discrete Schroedinger operator whose potential is the sum of a Wigner-von Neumann term and a summable term. The essential spectrum of this operator equals to the inte…