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math.FA2023
Unconditional convergence of general Fourier series
Vakhtang Tsagareishvili, Giorgi Tutberidze, Giorgi Cagareishvili
S. Banach, in particular, proved that for any function, even where the convergence of its Fourier series with respect to the general orthonormal systems (O…
math.FA2023
Properties of sequence of linear functionals on with applications
L-E. Persson, V. Tsagareishvili, G. Tutberidze
This paper is devoted to investigating the sequence of some linear functionals in the space of finite variation functions. We prove that under certain conditions this sequence…