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This article is cited in 1 scientific paper (total in 1 paper)
Summation of Fourier Series on the Infinite-Dimensional Torus
D. V. Fufaev Lomonosov Moscow State University
Abstract:
Conditions for the convergence of Fejér means for functions on the infinite-dimensional torus over cubes and rectangles are obtained, and a generalization of these results to the case of products of abstract measure spaces is proposed.
Keywords:
Jessen system, convergence almost everywhere, infinite-dimensional torus, projective tensor product.
Received: 05.01.2017
Citation:
D. V. Fufaev, “Summation of Fourier Series on the Infinite-Dimensional Torus”, Mat. Zametki, 103:6 (2018), 927–935; Math. Notes, 103:6 (2018), 990–996
Linking options:
https://www.mathnet.ru/eng/mzm11516https://doi.org/10.4213/mzm11516 https://www.mathnet.ru/eng/mzm/v103/i6/p927
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Abstract page: | 503 | Full-text PDF : | 60 | References: | 70 | First page: | 30 |
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