Abstract. We prove that under mild growth conditions, uniqueness holds for a multiple Walsh series whose square dyadic partial sums converge almost everywhere to an integrable function. We apply this result to obtain a new uniqueness result for Cesàro summable multiple Walsh series.
AMS Subject Classification
(1991): 42C10, 43A75
Received February 28, 2005. (Registered under 5915/2009.)
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