Uniqueness of double Walsh series |
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Authors: | W R Wade |
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Institution: | (1) Mathematics Department, University of Tennessee, Knoxville, TN 37996-1300, U.S.A. |
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Abstract: | Summary 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 Cesáro summable
multiple Walsh series. |
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Keywords: | uniqueness Walsh series Cesáro means square partial sums multiple Walsh series |
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