Summing generalized closed 𝑈-sets for Walsh series

Yoneda, Kaoru

doi:10.1090/S0002-9939-1985-0781066-8

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

Summing generalized closed $U$-sets for Walsh series
HTML articles powered by AMS MathViewer

by Kaoru Yoneda PDF

Proc. Amer. Math. Soc. 94 (1985), 110-114 Request permission

Abstract:

A countable union of closed $U$-sets for Walsh series in certain generalized sense is again a $U$-set in the same sense.

References

N. J. Fine, On the Walsh functions, Trans. Amer. Math. Soc. 65 (1949), 372–414. MR 32833, DOI 10.1090/S0002-9947-1949-0032833-2
William R. Wade, Summing closed $U$-sets for Walsh series, Proc. Amer. Math. Soc. 29 (1971), 123–125. MR 279522, DOI 10.1090/S0002-9939-1971-0279522-4
K. Yoneda, On generalized uniqueness theorems for Walsh series, Acta Math. Hungar. 43 (1984), no. 3-4, 209–217. MR 733855, DOI 10.1007/BF01958020