Pointwise Convergence of Fourier Series

Author: Gogi Kezheradze
Keywords: Fourier series, convergence, maximal function, Lebesgue point.
Annotation:

In this paper current issues connected with Fourier series is considered. In particular, it's defined Hardy-Littlewood maximal function and inequality connected with it is established that is used to prove many theorem on pointwise convergence of Fourier series. Nevertheless, it's established some theorems on pointwise convergence of Fourier series. In particular, Jordan's and Dini's tests are established.

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დოქტორანტის სემინარი-1 [ka]