81 citations · 119 across the 36 of their papers we have counts for
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On non-selfadjoint perturbations of infinite band Schrödinger operators and Kato method
L. Golinskii, S. Kupin
Let $ H_0=-\dd+V_0 $ be a multidimensional Schrödinger ope\-rator with a real-valued potential and infinite band spectrum, and be its non-selfadjoint perturbation defined…
Spectra of infinite graphs via Schur complement
L. Golinskii
The goal of the paper is to apply the general operator theoretic construction known as the Schur complement for computation of the spectrum of certain infinite graphs which can be…
Spectra of infinite graphs with tails
Leonid Golinskii
We compute explicitly (modulo solutions of certain algebraic equations) the spectra of infinite graphs obtained by attaching one or several infinite paths to some vertices of certa…
Radial positive definite functions and Schoenberg matrices with negative eigenvalues
L. Golinskii, M. Malamud, L. Oridoroga
The main object under consideration is a class of radial positive definite functions on which do not admit \emph{radial positive definite continuation…
On complex perturbations of infinite band Schrodinger operators
L. Golinskii, S. Kupin
We study a complex perturbation of a self-adjoint infinite band Schrodinger operator (defined in the form sense), and obtain the Lieb--Thirring type inequalities for the rate of co…