Affiliation:
1. Faculty of Exact and Natural Sciences, I. Javakhishvili Tbilisi State University, 13 University Str., Tbilisi0186, Georgia
Abstract
AbstractIn this paper, we investigate the absolute convergence of Fourier series of functions in several variables for an odd-dimensional space when these functions have continuous partial derivatives.
It should be noted that similar properties for an even-dimensional space were given in [L. D. Gogoladze and V. S. Tsagareishvili,
On absolute convergence of multiple Fourier series (in Russian),
Izv. Vyssh. Uchebn. Zaved. Mat. 2015, 9, 12–21;
translation in Russian Math. (Iz. VUZ) 59 (2015), no. 9, 9–17].
The obtained results are the best possible in a certain sense.
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