Localization for multiple Fourier series of functions of bounded harmonic variation |
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| Authors: | A. N. Bakhvalov |
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| Affiliation: | (1) Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia |
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| Abstract: | An example of a function of four variables belonging to the class of bounded harmonic variation (in a weak sense) is constructed. Cubic sums of a trigonometric Fourier series for this function does not possess the localization property. |
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