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Helson sets in Tn

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Conference on Harmonic Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 266))

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References

  1. J. W. S. Cassels, An Introduction to Diophantine Approximation, Cambridge University Press, 1957.

    Google Scholar 

  2. K. de Leeuw and Y. Katznelson, On certain homomorphisms of quotients of group algebras, Israel J. Math. 2(1964), 120–126.

    Article  MathSciNet  MATH  Google Scholar 

  3. R. Doss, Elementary proof of a theorem of Helson, to appear.

    Google Scholar 

  4. S. W. Drury, Sur les ensembles de Sidon, C.R.A.S., Paris 271A(1970), 161–162.

    MathSciNet  MATH  Google Scholar 

  5. H. Helson, Fourier transforms on perfect sets, Studia Math. 14(1954), 209–213.

    MathSciNet  MATH  Google Scholar 

  6. C. S. Herz, Fourier transforms related to convex sets, Ann. Math. 75(1962), 81–92.

    Article  MathSciNet  MATH  Google Scholar 

  7. C. S. Herz, Drury's Lemma and Helson sets, to appear in Studia Math.

    Google Scholar 

  8. J.-P. Kahane, Sur les réarrangements des suites de coefficients de Fourier-Lebesgue, C.R.A.S. Paris, 265A(1967), 310–312.

    MathSciNet  MATH  Google Scholar 

  9. J.-P. Kahane, Sur les réarrangements de fonctions de la classe A, Studia Math. 31(1968), 287–293.

    MathSciNet  MATH  Google Scholar 

  10. J.-P. Kahane, Séries de Fourier Absolument Convergentes, Springer-Verlag, 1970.

    Google Scholar 

  11. J.-P. Kahane and R. Salem, Ensembles Parfaits et Séries Trigonométriques, Hermann, Paris, 1963.

    MATH  Google Scholar 

  12. T. W. Körner, Some results on Kronecker, Dirichlet and Helson sets II, to appear in J. d'Analyse.

    Google Scholar 

  13. D. Rider, Gap series on groups and spheres, Canad. J. Math. 18(1966), 389–397.

    Article  MathSciNet  MATH  Google Scholar 

  14. W. Rudin, Fourier-Stieltjes transforms of measures on independent sets, Bull. Am. Math. Soc. 66(1960), 199–202.

    Article  MathSciNet  MATH  Google Scholar 

  15. W. Rudin, Fourier Analysis on Groups, Interscience Publishers, New York, 1962.

    MATH  Google Scholar 

  16. J. D. Stegeman, Studies in Fourier and Tensor Algebras, Pressa Trajectina, Utrecht, 1971.

    Google Scholar 

  17. N. Th. Varopoulos, Sets of multiplicity in locally compact abelian groups, Ann.Inst. Fourier, Grenoble 16(1966), 123–158.

    Article  MathSciNet  MATH  Google Scholar 

  18. N. Th. Varopoulos, Sidon sets in Rn, Math. Scand. 27(1970), 39–49.

    MathSciNet  MATH  Google Scholar 

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Denny Gulick Ronald L. Lipsman

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© 1972 Springer-Verlag

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McGehee, O.C. (1972). Helson sets in Tn . In: Gulick, D., Lipsman, R.L. (eds) Conference on Harmonic Analysis. Lecture Notes in Mathematics, vol 266. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059647

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  • DOI: https://doi.org/10.1007/BFb0059647

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05856-4

  • Online ISBN: 978-3-540-37479-4

  • eBook Packages: Springer Book Archive

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