P. B. Kennedy [3] studied lacunary Fourier series whose generating functions are of bounded variation on a subinterval I of [ -π, π ] and satisfy a Lispschitz condition of order α on I. We show that ...
We study convergence almost everywhere of multiple trigonometric Fourier series over cubes defined on the 𝑑-dimensional torus 𝕋𝑑. We provide a new approach which allows us to prove the novel ...
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