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ArticleOriginal scientific text

Title

Comparisons of Sidon and I0 sets

Authors 1

Affiliations

  1. Mathematics, Keller Hall, 2565 The Mall Honolulu, Hawaii 96822 U.S.A.

Keywords

ENG
Sidon, almost periodic function, I0 set

Bibliography

  1. J. Bourgain, Sur les ensembles d'interpolation pour les mesures discrètes, C. R. Acad. Sci. Paris 296 (1983), 149-151.
  2. J. Dugundji, Topology, Allyn and Bacon, Boston, 1967, pp. 144-149.
  3. J. Elton, Sign-embeddings of l1n, Trans. Amer. Math. Soc. 279 (1983), 113-124.
  4. C. C. Graham and O. C. McGehee, Essays in Commutative Harmonic Analysis, Springer, New York, 1979, pp. 48-67 and 364-370.
  5. D. Grow, Sidon sets and I0 sets, Colloq. Math. 53 (1987), 269-270.
  6. S. Hartman and C. Ryll-Nardzewski, Almost periodic extensions of functions, ibid. 12 (1964), 23-39.
  7. J.-P. Kahane, Ensembles de Ryll-Nardzewski et ensembles de Helson, ibid. 15 (1966), 87-92.
  8. N. J. Kalton, On vector-valued inequalities for Sidon sets and sets of interpolation, ibid. 64 (1993), 233-244.
  9. Y. Katznelson, Characterization of C(M), personal communication, 1960.
  10. J. H. B. Kemperman, On products of sets in a locally compact group, Fund. Math. 56 (1964), 51-68.
  11. J. M. López and K. A. Ross, Sidon Sets, Marcel Dekker, New York, 1975, p. 4.
  12. J.-F. Méla, Sur les ensembles d'interpolation de C. Ryll-Nardzewski et de S. Hartman, Studia Math. 29 (1967/1968), 167-193.
  13. A. Pajor, Plongement de l1n dans les espaces de Banach complexes, C. R. Acad. Sci. Paris 296 (1983), 741-743.
  14. G. Pisier, Conditions d'entropie et caractérisations arithmétiques des ensembles de Sidon, in: Topics in Modern Harmonic Analysis (Torino/Milano 1982), Istituto Nazionale de Alta Matematica, Roma, 1983, 911-944.
  15. L. T. Ramsey, Bohr cluster points of Sidon sets, Colloq. Math. 68 (1995), 285-290.
  16. L. T. Ramsey, A theorem of C. Ryll-Nardzewski and metrizable L.C.A. groups, Proc. Amer. Math. Soc. 78 (1980), 221-224.
  17. L. T. Ramsey and B. B. Wells, Interpolation sets in bounded groups, Houston J. Math. 10 (1984), 117-125.
  18. W. Rudin, Fourier Analysis on Groups, Wiley, New York, 1962, pp. 32-36.
  19. E. Strzelecki, On a problem of interpolation by periodic and almost periodic functions, Colloq. Math. 11 (1963), 91-99.
Colloquium Mathematicum
1996/70/1
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Pages:
103-132
Main language of publication
English
Received
1995-06-21
Published
1996
Exact and natural sciences