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Proceedings of the American Mathematical Society

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

 

 

Helson sets which disobey spectral synthesis


Author: Sadahiro Saeki
Journal: Proc. Amer. Math. Soc. 47 (1975), 371-377
MSC: Primary 43A45
DOI: https://doi.org/10.1090/S0002-9939-1975-0361625-0
MathSciNet review: 0361625
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Abstract: In this paper it is shown that every nondiscrete LCA group contains a compact independent Helson set which disobeys spectral synthesis.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0361625-0
Keywords: LCA group, Helson set, set of type $ M$, $ {H_1}$-set, $ {K_q}$-set, Fourier algebra, spectral synthesis, pseudo-function
Article copyright: © Copyright 1975 American Mathematical Society