D. Karagulyan

activity

20172022

most citedExponential Fermi Acceleration in a Switching Billiard

1 citations · 1 across the 5 of their papers we have counts for

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math.CA2022

On the coexistence of divergence and convergence phenomena for the Fourier-Haar series for non-negative functions

Michihiro Hirayama, Davit Karagulyan

Let ${H_{n, m}}_{n, m \in N}$ be the two dimensional Haar system and $S_{n, m} f$ be the rectangular partial sums of its Fourier series with respect to some $f\in L^1([0,1)^2…

math.CA2021

Differentiation properties of class $L^{1} ([0, 1]^{2})$ with respect to two different basis of rectangles

Michihiro Hirayama, Davit Karagulyan

It is a well-known result by Saks \cite{Saks1934} that there exists a function $f \in L^{1} (R^{2})$ so that for almost every $(x, y) \in R^{2}$ \[ \lim_{\substack{\mathrm…

On the coexistence of divergence and convergence phenomena for the Fourier-Haar series for non-negative functions

Differentiation properties of class L1([0,1]2) with respect to two different basis of rectangles

Differentiation properties of class $L^{1} ([0, 1]^{2})$ with respect to two different basis of rectangles