Unconditional convergence almost everywhere of Fourier series of continuous functions in the Haar system |
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Authors: | S V Bochkarev |
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Institution: | (1) Moscow Physical-Technical Institute, USSR |
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Abstract: | A continuous function is constructed whose Haar-Fourier series, after a definite rearrangement of its terms, diverges almost everywhere. A function is also constructed which has the maximum degree of smoothness in the sense that if its smoothness is increased its Haar-Fourier series becomes unconditionally convergent almost everywhere.Translated from Matematicheskie Zametki, Vol. 4, No. 2, pp. 211–220, August, 1968. |
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