M. Grigoryan

collaborators

2 papers

math.FA2023

Elements (functions) that are universal with respect to a minimal system

Zhirayr Avetisyan, Martin Grigoryan, Michael Ruzhansky

We call an element $U$ conditionally universal for a sequential convergence space $Ω$ with respect to a minimal system ${φ_{n}}_{n = 1}^{\infty}$ in a continuously and densely e…

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 $φ_{n} \in L^{\infty} (M)$ ,…

Elements (functions) that are universal with respect to a minimal system

Approximations in L1 with convergent Fourier series

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