Skip to Main Content

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.

 

Helson sets which disobey spectral synthesis
HTML articles powered by AMS MathViewer

by Sadahiro Saeki PDF
Proc. Amer. Math. Soc. 47 (1975), 371-377 Request permission

Abstract:

In this paper it is shown that every nondiscrete LCA group contains a compact independent Helson set which disobeys spectral synthesis.
References
  • Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. I, 2nd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 115, Springer-Verlag, Berlin-New York, 1979. Structure of topological groups, integration theory, group representations. MR 551496
  • Thomas Körner, A pseudofunction on a Helson set. I, Pseudofunctions and Helson sets, Astérisque, vol. 5, Soc. Math. France, Paris, 1973, pp. 3–224. MR 0404974
  • T. W. Körner, A pseudo-function on a Helson set, Astérisque Math. France 5 (1973), 3-224.
  • Walter Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No. 12, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0152834
  • Sadahiro Saeki, A characterization of $\textrm {SH}$-sets, Proc. Amer. Math. Soc. 30 (1971), 497–503. MR 283500, DOI 10.1090/S0002-9939-1971-0283500-9
  • T. W. Körner, A pseudo-function on a Helson set. II, Astérisque Math. France 5 (1973), 231-239.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 43A45
  • Retrieve articles in all journals with MSC: 43A45
Additional Information
  • © Copyright 1975 American Mathematical Society
  • 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