Zh. Avetisyan

collaborators

4 papers

math.AP2020

Rigidity of a thin domain depends on the curvature, width, and boundary conditions

Zhirayr Avetisyan, Davit Harutyunyan, Narek Hovsepyan

This paper is concerned with the study of linear geometric rigidity of shallow thin domains under zero Dirichlet boundary conditions on the displacement field on the thin edge of t…

math-ph2020

Global hyperbolicity and factorization in cosmological models

Zhirayr Avetisyan

The subject of the paper is the geometry and topology of cosmological spacetimes and vector bundles thereon, which are used to model physical fields propagating in the universe. Gl…

math.GR2018

Jordanable almost Abelian Lie algebras

Zhirayr Avetisyan

We call a linear operator on a vector space over a field Jordanable if it has a Jordan canonical form. An almost Abelian Lie algebra has only one non-vanishing Lie bracket, which i…

math.FA2018

Approximations in $L^{1}$ with convergent Fourier series

Zhirayr Avetisyan, Martin Grigoryan, Michael Ruzhansky

For a separable finite diffuse measure space $M$ and an orthonormal basis ${φ_{n}}$ of $L^{2} (M)$ consisting of bounded functions $φ_{n} \in L^{\infty} (M)$ ,…

Rigidity of a thin domain depends on the curvature, width, and boundary conditions

Global hyperbolicity and factorization in cosmological models

Jordanable almost Abelian Lie algebras

Approximations in L1 with convergent Fourier series

Approximations in $L^{1}$ with convergent Fourier series