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Article

О равномерной сходимости рядов Фурье

Математические заметки. 2012. Т. 91. № 6. С. 946-949.

We consider the space U(T) of all continuous functions on the circle T with uniformely convergent Fourier series. We obtain an estimate for the growth of the U -norms of exponential functions with an arbitrary piecewise linear phase and unboundedly growing integer frequences.