Geodesic
On the limits of indetermination and on the set of limit functions of series in the Walsh system
Sbornik. Mathematics, Tome 24 (1974) no. 2, pp. 257-265

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The main result of the article is the following Theorem. {\it If a series with respect to the Walsh system is summable $(C,1)$ on a set $E$ of positive measure to a finite function $f(t)$, the subsequence $\{S_{2^n}(t)\}$ of partial sums of this series converges almost everywhere on $E$ to the function $f(t)$.} Bibliography: 8 titles. 
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     author = {L. A. Shaginyan},
     title = {On the limits of indetermination and on the set of limit functions of series in the {Walsh} system},
     journal = {Sbornik. Mathematics},
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     volume = {24},
     number = {2},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1974_24_2_a3/}
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L. A. Shaginyan. On the limits of indetermination and on the set of limit functions of series in the Walsh system. Sbornik. Mathematics, Tome 24 (1974) no. 2, pp. 257-265. http://geodesic.mathdoc.fr/item/SM_1974_24_2_a3/