Uniqueness for Cesàro summable double Walsh series

Autor:	W. R. Wade, D. S. Daniel
Rok vydání:	2004
Předmět:	Discrete mathematics Null set Pure mathematics General Mathematics Convergence (routing) Cesàro summation Walsh series Uniqueness Square (algebra) Mathematics
Zdroj:	Analysis Mathematica. 30:33-46
ISSN:	0133-3852
DOI:	10.1023/b:anam.0000028826.47862.5f
Popis:	We prove a Tauberian theorem for Walsh series of two variables, and use it to obtain several results about uniqueness of Cesaro summable double Walsh series. Namely, we show that up to sets of measure zero, Cesaro 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 Cesaro summable double Walsh series.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cb5081be1d288352d1c7a00cacee409e https://doi.org/10.1023/b:anam.0000028826.47862.5f Zobrazit plný text záznamu Full text from SpringerLink