Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 
 

 

Summation methods and uniqueness in Vilenkin groups


Author: D. J. Grubb
Journal: Proc. Amer. Math. Soc. 102 (1988), 556-558
MSC: Primary 42C10; Secondary 43A55
DOI: https://doi.org/10.1090/S0002-9939-1988-0928979-4
MathSciNet review: 928979
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that the $ \sigma $-compact $ U$-sets for two different summation methods on Vilenkin groups are the same.


References [Enhancements On Off] (What's this?)

  • [1] D. J. Grubb, Sets of uniqueness in compact, 0-dimensional, metric groups, Trans. Amer. Math. Soc. 301 (1987), 239-249. MR 879571 (88h:42029)
  • [2] -, Completeness and uniqueness on compact, 0-dimensional, metric spaces, unpublished.
  • [3] N. Ja. Vilenkin, On a class of complete orthonormal systems, Izv. Akad. Nauk SSSR 11 (1947), 363-400; English transl., Amer. Math. Soc. Transl. 28 (1963), 1-35. MR 0154042 (27:4001)
  • [4] K. Yoneda, Sets of multiplicity on the dyadic group, Acta Math. Hungar. 41 (1983), 195-200. MR 703732 (84m:43009)
  • [5] V. A. Skvorcov, Example of a Walsh series with a subsequence of partial sums converging everywhere to 0, Mat. Sb. 97 (1975), 517-539. MR 0382989 (52:3871)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 42C10, 43A55

Retrieve articles in all journals with MSC: 42C10, 43A55


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0928979-4
Keywords: Set of uniqueness, Vilenkin group
Article copyright: © Copyright 1988 American Mathematical Society

American Mathematical Society