Results in Mathematics

, Volume 4, Issue 1–2, pp 22–33 | Cite as

Absolute Fourier multipliers

  • R. E. Edwards
  • H. Helson
Forschungsbeiträge Research paper


Banach Space Finite Interval Summable Function Bounded Support Continuous Seminorm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. [1]
    R. E. Edwards, Functional Analysis, Theory and Applications, Holt, Rinehart and Winston, 1965.Google Scholar
  2. [2]
    R. E. Edwards, E. Hewitt and G. Ritter, Fourier multipliers for certain spaces of functions with compact supports, Inventiones Math. 40 (1977), 37–57.MathSciNetCrossRefMATHGoogle Scholar
  3. [3]
    H. Helson, Conjugate series and a theorem of Paley, Pacific J. Math. 8 (1958), 437–446.MathSciNetCrossRefMATHGoogle Scholar
  4. [4]
    S. Kaczmarz and H. Steinhaus, Theorie der Orthogonalreihen, Monografje Matematyczne VI, 1935.Google Scholar
  5. [5]
    W. Orlicz, Beiträge zur Theorie der Orthogonalentwicklungen (III), Bull. Int. Acad. Polon., A Nr. 8/9 (1932), 229–238.MATHGoogle Scholar
  6. [6]
    R. E. A. C. Paley, A note on power series, J. London Math. Soc. 7 (1932), 122–130.MathSciNetCrossRefMATHGoogle Scholar
  7. [7]
    S. Sidon, Ein Satz über die fourierschen Reihen stetiger Funktionen, Math. Z. 34 (1932), 485–486.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Birkhäuser Verlag, Basel 1981

Authors and Affiliations

  • R. E. Edwards
    • 1
  • H. Helson
    • 2
  1. 1.Institute of Advanced StudiesAustralian National UniversityCanberra
  2. 2.University of CaliforniaBerkeley

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