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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.

 

Multipliers on compact groups
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by Ian Inglis PDF
Proc. Amer. Math. Soc. 70 (1978), 151-155 Request permission

Abstract:

We give some sufficient conditions for a function on a compact totally disconnected abelian group to be an ${L^p}$ Fourier multiplier.
References
  • R. E. Edwards and G. I. Gaudry, Littlewood-Paley and multiplier theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 90, Springer-Verlag, Berlin-New York, 1977. MR 0618663
  • Garth I. Gaudry and Ian R. Inglis, Weak-strong convolution operators on certain disconnected groups, Studia Math. 64 (1979), no. 1, 1–12. MR 524018, DOI 10.4064/sm-64-1-1-12
  • 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
  • Sadahiro Saeki, Translation invariant operators on groups, Tohoku Math. J. (2) 22 (1970), 409–419. MR 275057, DOI 10.2748/tmj/1178242767
  • René Spector, Sur la structure locale des groupes abéliens localement compacts, Bull. Soc. Math. France Suppl. Mém. 24 (1970), 94 (French). MR 283498
  • Elias M. Stein and Guido Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Mathematical Series, No. 32, Princeton University Press, Princeton, N.J., 1971. MR 0304972
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 70 (1978), 151-155
  • MSC: Primary 43A22; Secondary 42A18
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0477606-5
  • MathSciNet review: 0477606