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This article is cited in 21 scientific papers (total in 21 papers)
A theorem on the convergence almost everywhere of a sequence of measurable functions, and its applications to sequences of stochastic integrals
V. F. Gaposhkin
Abstract:
It is shown that various problems on the convergence almost everywhere of sequences of stochastic integrals (the theorem of Kotel'nikov for stationary processes, estimates of the means of stationary processes and homogeneous fields) can be solved with the help of a general theorem on convergence of a sequence of measurable functions.
Bibliography: 9 titles.
Received: 23.12.1976
Citation:
V. F. Gaposhkin, “A theorem on the convergence almost everywhere of a sequence of measurable functions, and its applications to sequences of stochastic integrals”, Math. USSR-Sb., 33:1 (1977), 1–17
Linking options:
https://www.mathnet.ru/eng/sm2933https://doi.org/10.1070/SM1977v033n01ABEH002407 https://www.mathnet.ru/eng/sm/v146/i1/p3
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