Walsh series and measure
Tóm tắt
Let ξ =(ξ0,ξ1,...) be a zero-one series. We shall study whether the Walsh series, $$\sum\limits_{n = 0}^\infty {\xi _n } w_n (x)$$ is the Walsh--Fourier series of some measure or not.
Tài liệu tham khảo
citation_journal_title=T.A.M.S.; citation_title=On Walsh functions; citation_author=N. J. Fine; citation_volume=65; citation_publication_date=1949; citation_pages=372-414; citation_doi=10.2307/1990619; citation_id=CR1
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citation_journal_title=Acta Math. Hungar.; citation_title=An application of Walsh-Fourier analysis to weakly stationary processes; citation_author=K. Yoneda; citation_volume=76; citation_publication_date=1997; citation_pages=303-335; citation_doi=10.1023/A:1006585623176; citation_id=CR3