Convergence of General Fourier Series of Differentiable Functions
Author:
Publisher
Allerton Press
Subject
Applied Mathematics,Control and Optimization,Analysis
Link
https://link.springer.com/content/pdf/10.3103/S1068362323060067.pdf
Reference20 articles.
1. S. Banach, ‘‘Sur la divergence des séries orthogonales,’’ Stud. Math. 9, 139–155 (1940). https://doi.org/10.4064/sm-9-1-139-155
2. S. V. Bochkarev, ‘‘Absolute convergence of fourier series with respect to complete orthonormal systems,’’ Russ. Math. Surv. 27 (2), 55–81 (1972). https://doi.org/10.1070/rm1972v027n02abeh001371
3. G. Cagareishvili, ‘‘General Fourier coefficients and problems of summability almost everywhere,’’ Ann. Polonici Mathematici 126, 113–128 (2021). https://doi.org/10.4064/ap200731-23-10
4. N. J. Fine, ‘‘On the Walsh functions,’’ Trans. Am. Math. Soc. 65, 372–414 (1949). https://doi.org/10.1090/s0002-9947-1949-0032833-2
5. L. Gogoladze and V. Tsagareishvili, ‘‘Some classes of functions and Fourier coefficients with respect to general orthonormal systems,’’ Proc. Steklov Inst. Math. 280, 156–168 (2013). https://doi.org/10.1134/s0081543813010100
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