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Matematicheskie Zametki, 1968, Volume 4, Issue 6, Pages 697–705
(Mi mzm6790)
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This article is cited in 3 scientific papers (total in 3 papers)
The summation of orthogonal series by linear methods
V. A. Bolgov Moscow Institute of Forestry Engineering
Abstract:
A class of linear methods is distinguished which possesses the property: each method sums almost everywhere any orthogonal series in $L_2$ if and only if a subsequence of partial sums whose indices satisfy a certain condition and do not depend on the series converges almost everywhere. Questions are considered on the exact Weyl multiplier and strong summability.
Received: 30.10.1967
Citation:
V. A. Bolgov, “The summation of orthogonal series by linear methods”, Mat. Zametki, 4:6 (1968), 697–705; Math. Notes, 4:6 (1968), 907–912
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https://www.mathnet.ru/eng/mzm6790 https://www.mathnet.ru/eng/mzm/v4/i6/p697
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Abstract page: | 239 | Full-text PDF : | 96 | First page: | 1 |
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