Comparisons of Sidon and I 0 sets

L. Ramsey

Colloquium Mathematicae (1996)

  • Volume: 70, Issue: 1, page 103-132
  • ISSN: 0010-1354

How to cite

top

Ramsey, L.. "Comparisons of Sidon and $I_0$ sets." Colloquium Mathematicae 70.1 (1996): 103-132. <http://eudml.org/doc/210390>.

@article{Ramsey1996,
author = {Ramsey, L.},
journal = {Colloquium Mathematicae},
keywords = {Sidon; almost periodic function; $I_0$ set; finitely describable; sets; abelian group; Banach algebra; Borel measures; Fourier transforms; helsonian},
language = {eng},
number = {1},
pages = {103-132},
title = {Comparisons of Sidon and $I_0$ sets},
url = {http://eudml.org/doc/210390},
volume = {70},
year = {1996},
}

TY - JOUR
AU - Ramsey, L.
TI - Comparisons of Sidon and $I_0$ sets
JO - Colloquium Mathematicae
PY - 1996
VL - 70
IS - 1
SP - 103
EP - 132
LA - eng
KW - Sidon; almost periodic function; $I_0$ set; finitely describable; sets; abelian group; Banach algebra; Borel measures; Fourier transforms; helsonian
UR - http://eudml.org/doc/210390
ER -

References

top
  1. [1] J. Bourgain, Sur les ensembles d'interpolation pour les mesures discrètes, C. R. Acad. Sci. Paris 296 (1983), 149-151. Zbl0537.43016
  2. [2] J. Dugundji, Topology, Allyn and Bacon, Boston, 1967, pp. 144-149. 
  3. [3] J. Elton, Sign-embeddings of l 1 n , Trans. Amer. Math. Soc. 279 (1983), 113-124. Zbl0525.46011
  4. [4] C. C. Graham and O. C. McGehee, Essays in Commutative Harmonic Analysis, Springer, New York, 1979, pp. 48-67 and 364-370. Zbl0439.43001
  5. [5] D. Grow, Sidon sets and I 0 sets, Colloq. Math. 53 (1987), 269-270. 
  6. [6] S. Hartman and C. Ryll-Nardzewski, Almost periodic extensions of functions, ibid. 12 (1964), 23-39. Zbl0145.32101
  7. [7] J.-P. Kahane, Ensembles de Ryll-Nardzewski et ensembles de Helson, ibid. 15 (1966), 87-92. Zbl0144.34202
  8. [8] N. J. Kalton, On vector-valued inequalities for Sidon sets and sets of interpolation, ibid. 64 (1993), 233-244. Zbl0838.43007
  9. [9] Y. Katznelson, Characterization of C(M), personal communication, 1960. 
  10. [10] J. H. B. Kemperman, On products of sets in a locally compact group, Fund. Math. 56 (1964), 51-68. Zbl0125.28901
  11. [11] J. M. López and K. A. Ross, Sidon Sets, Marcel Dekker, New York, 1975, p. 4. 
  12. [12] J.-F. Méla, Sur les ensembles d'interpolation de C. Ryll-Nardzewski et de S. Hartman, Studia Math. 29 (1967/1968), 167-193. Zbl0155.18802
  13. [13] A. Pajor, Plongement de l 1 n dans les espaces de Banach complexes, C. R. Acad. Sci. Paris 296 (1983), 741-743. 
  14. [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. [15] L. T. Ramsey, Bohr cluster points of Sidon sets, Colloq. Math. 68 (1995), 285-290. Zbl0830.43014
  16. [16] L. T. Ramsey, A theorem of C. Ryll-Nardzewski and metrizable L.C.A. groups, Proc. Amer. Math. Soc. 78 (1980), 221-224. Zbl0396.22004
  17. [17] L. T. Ramsey and B. B. Wells, Interpolation sets in bounded groups, Houston J. Math. 10 (1984), 117-125. Zbl0538.43004
  18. [18] W. Rudin, Fourier Analysis on Groups, Wiley, New York, 1962, pp. 32-36. Zbl0107.09603
  19. [19] E. Strzelecki, On a problem of interpolation by periodic and almost periodic functions, Colloq. Math. 11 (1963), 91-99. Zbl0114.28501

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.