Uniqueness of double Walsh series

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 Cesaro summable multiple Walsh series.

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Bibliographic Details
Published in:Acta mathematica Hungarica 2006-01, Vol.110 (3), p.207-216
Main Author: Wade, W. R.
Format: Article
Language:English
Online Access:Get full text
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Description
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 Cesaro summable multiple Walsh series.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-006-0016-x