Arkiv för Matematik

, Volume 24, Issue 1–2, pp 277–282 | Cite as

Wiener's theorem, the Radon-Nikodym theorem, andm 0(T)

  • Russell Lyons
Article
  • 33 Downloads

Keywords

Positive Measure Trigonometric Polynomial Pointwise Convergence Norm Topology Discrete Measure 

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References

  1. 1.
    Nina K. Bari,A Treatise on Trigonometric Series. Translated from the Russian by M. F. Mullins. Vol. I: New York: Macmillan, 1964.Google Scholar
  2. 2.
    Colin C. Graham andO. Carruth McGehee,Essays in Commutative Harmonic Analysis. New York: Springer-Verlag, 1979.MATHGoogle Scholar
  3. 3.
    Yitzhak Katznelson,An Introduction to Harmonic Analysis. Second corrected edition, New York: Dover, 1976.MATHGoogle Scholar
  4. 4.
    L. Kuipers andH. Niederreiter,Uniform Distribution of Sequences. New York: Wiley, 1974.MATHGoogle Scholar
  5. 5.
    Russell Lyons, Characterizations of measures whose Fourier-Stieltjes transforms vanish at infinity,Bull. Amer. Math. Soc. 10 (1984), 93–96.MATHCrossRefMathSciNetGoogle Scholar
  6. 6.
    Russell Lyons, A characterization of measures whose Fourier-Stieltjes transforms vanish at infinity (to appear).Google Scholar
  7. 7.
    Hermann Weyl, Über die Gleichverteilung von Zahlen mod. Eins,Math. Ann. 77 (1916), 313–352.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Institut Mittag Leffler 1986

Authors and Affiliations

  • Russell Lyons
    • 1
  1. 1.Batiment de Mathematique No 425Universite de paris-SudOrsayFrance

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