Abstract. We find conditions for the regular convergence of multiple series of independent terms in terms of the same three series as in Kolmogorov's theorem.
AMS Subject Classification
(1991): 26A15
Keyword(s):
multiple sums,
almost sure convergence,
regular convergence
Received December 11, 2008, and in revised form March 20, 2004. (Registered under 78/2008.)
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