Uniqueness for Cesàro summable double Walsh series.
| Autor: | D. S. Daniel, W. R. Wade |
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| Zdroj: | Analysis Mathematica; Mar2004, Vol. 30 Issue 1, p33-46, 14p |
| Abstrakt: | We prove a Tauberian theorem for Walsh series of two variables, and use it to obtain several results about uniqueness of Cesàro summable double Walsh series. Namely, we show that up to sets of measure zero, Cesàro summability of double Walsh series is the same as convergence of the square dyadic partial sums and, under a suitable growth condition, that uniqueness holds for Cesàro summable double Walsh series. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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