8 citations · 19 across the 13 of their papers we have counts for
13 papers
Conditions for semi-boundedness and discreteness of the spectrum to Schrödinger operator and some nonlinear PDEs
Leonid Zelenko
For Schrödinger operator , acting in the space , necessary and sufficient conditions for semi-boundedness and discreteness of…
Generic monodromy group of Riemann surfaces for inverses to entire functions of finite order
Leonid Zelenko
We consider the vector space of entire functions of finite order, whose types are not more than , endowed with Frechet topology, which is generated by a sequence of…
Locally Self-adjoint Extensions of Nonlinear Smooth Operators and Abstract Boundary Conditions
Leonid Zelenko
In a real Hilbert spaces H a smooth operator F is studied, whose derivative at each point of its domain is a symmetric operator. In terms of abstract boundary conditions locally se…
Criterion of holomorphy with respect to a coupling constant of continuous functions of a perturbed self-adjoint operator
Leonid Zelenko
Sufficient and necessary conditions on the spectral measure of a self-adjoint operator , acting in a Hilbert space, are obtained, under which for any continuous scalar function…
Conditions for discreteness of the spectrum to Schrödinger operator via non-increasing rearrangement, Lagrangian relaxation and perturbations
Leonid Zelenko
This work is a continuation of our previos paper, where for the Schrödinger operator $H=-Δ+ V(\e)\cdot$ $(V(\e)\ge 0)$, acting in the space , some sufficient c…
Conditions for discreteness of the spectrum to multi-dimensional Schrödinger operator
Leonid Zelenko
This work is a continuation of our previos paper \cite{Zel1}, where for the the Schrödinger operator $H=-Δ+ V(\e)\cdot$ $(V(\e)\ge 0)$, acting in the space , s…