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On the convergence (upper boundness) of trigonometric series. (English) Zbl 1204.42006

The author discusses necessary conditions and sufficient conditions for the convergence of the \(r\)-th derivative of Fourier series in \(L^1\).

MSC:

42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series
42A20 Convergence and absolute convergence of Fourier and trigonometric series
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