Convergence and uniform convergence of Fourier series

A. A. Zakharov


Abstract: We prove theorems on the convergence and uniform convergence of the Fourier series of periodic functions at a point under local and global hypotheses on the functions. The results are extended to uniform convergence and convergence almost everywhere.

UDC: 517.5

MSC: 42A20

Received: 03.06.1970

 English version: Mathematics of the USSR-Izvestiya, 1971, 5:2, 379–392

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