K. Kazarian

collaborators

3 papers

math.CA2019

Generalized Fourier series by double trigonometric system

K. S. Kazarian

Necessary and sufficient conditions are obtained on the function $M$ such that ${M (x, y) e^{ik x} e^{im y} : (k, m) \in Ω}$ is complete and minimal in $L^{p} (T^{2})$ when $Ω…

math.CA2019

A uniformly bounded complete Euclidean system

K. S. Kazarian

A uniformly bounded complete orthonormal system of functions $Θ = {θ_{n}}_{n = 1}^{\infty},$ $∥ θ_{n} ∥_{L_{[0, 1]}^{\infty}} \leq M$ is constructed such that $\sum_{n=1}^{\infty} a_{n}…

math.FA2018

On the orthogonal democratic systems in the $L^{p}$ spaces

K. S. Kazarian, A. San Antolin

The concept of bidemocratic pair for a Banach space was introduced in \cite{KS:18}. We construct a family of orthonormal systems $F_{l},$ $l \in (0, \infty)$ of functions…

Generalized Fourier series by double trigonometric system

A uniformly bounded complete Euclidean system

On the orthogonal democratic systems in the Lp spaces

On the orthogonal democratic systems in the $L^{p}$ spaces