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math.CA2024
Quadratic spectral concentration of characteristic functions
Kristina Oganesyan
It is known that the inequality \begin{align*}\int_{-W/2}^{W/2}|\widehat{f}(ξ)|^2dξ\leq \int_{-W/2}^{W/2}|\widehat{|f|^*}(ξ)|^2dξ\end{align*} between the quadratic spectral concent…
math.CA2021
John-Nirenberg inequality for Riemann type series
Kristina Oganesyan
We obtain an improvement of the John-Nirenberg inequality for the series of the form on intervals consisting of points of a same con…
math.CA2020
Uniform convergence criterion for non-harmonic sine series
Kristina Oganesyan
We show that for a nonnegative monotone sequence the condition is sufficient for uniform convergence of the series on any b…