Network


Latest external collaboration on country level. Dive into details by clicking on the dots.

Hotspot


Dive into the research topics where Leonid Zelenko is active.

Publication


Featured researches published by Leonid Zelenko.


Integral Equations and Operator Theory | 1999

Finite-dimensional perturbations of self-adjoint operators

Jonathan Arazy; Leonid Zelenko

AbstractWe study finite-dimensional perturbationsA+γB of a self-adjoint operatorA acting in a Hilbert space


Archive | 2000

Bistrict Plus-operators in Krein Spaces and Dichotomous Behavior of Irreversible Dynamical Systems

Victor Khatskevich; Leonid Zelenko


Archive | 2014

Prescribing the Mixed Scalar Curvature of a Foliation

Vladimir Rovenski; Leonid Zelenko

\mathfrak{H}


arXiv: Differential Geometry | 2015

The mixed Yamabe problem for foliations

Vladimir Rovenski; Leonid Zelenko


Journal of Geometry and Physics | 2018

Prescribing the mixed scalar curvature of a foliated Riemann–Cartan manifold

Vladimir Rovenski; Leonid Zelenko

. We obtain asymptotic estimates of eigenvalues of the operatorA+γB in a gap of the spectrum of the operatorA as γ → 0, and asymptotic estimates of their number in that gap. The results are formulated in terms of new notions of characteristic branches ofA with respect to a finite-dimensional subspace of


Archive | 2013

Prescribing the positive mixed scalar curvature of totally geodesic foliations

Vladimir Rovenski; Leonid Zelenko


Integral Equations and Operator Theory | 2006

Virtual Eigenvalues of the High Order Schrodinger Operator I

Jonathan Arazy; Leonid Zelenko

\mathfrak{H}


Integral Equations and Operator Theory | 2004

On a Generic Topological Structure of the Spectrum to One-dimensional Schrödinger Operators with Complex Limit-periodic Potentials

Leonid Zelenko


arXiv: Differential Geometry | 2012

The mixed scalar curvature flow on a fiber bundle

Vladimir Rovenski; Leonid Zelenko

on a gap of the spectrum σ(A) and asymptotic multiplicities of endpoints of that gap with respect to this subspace. It turns out that ifA has simple spectrum then under some mild conditions these asymptotic multiplicities are not bigger than one. We apply our results to the operator(Af)(t)=tf(t) onL2([0, 1],ρc), whereρc is the Cantor measure, and obtain the precise description of the asymptotic behavior of the eigenvalues ofA+γB in the gaps of


Integral Equations and Operator Theory | 2007

Spectrum of the One-dimensional Schrödinger Operator With a Periodic Potential Subjected to a Local Dilative Perturbation

Leonid Zelenko

Collaboration


Dive into the Leonid Zelenko's collaboration.

Top Co-Authors

Avatar
Top Co-Authors

Avatar
Top Co-Authors

Avatar
Researchain Logo
Decentralizing Knowledge