Sidonicity in compact, abelian hypergroups

Kathryn Hare

Colloquium Mathematicae (1998)

  • Volume: 76, Issue: 2, page 171-180
  • ISSN: 0010-1354

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Hare, Kathryn. "Sidonicity in compact, abelian hypergroups." Colloquium Mathematicae 76.2 (1998): 171-180. <http://eudml.org/doc/210557>.

@article{Hare1998,
author = {Hare, Kathryn},
journal = {Colloquium Mathematicae},
keywords = {lacunary set; hypergroups; non-abelian compact groups; Sidon set; lacunarity; -Sidon set; compact abelian hypergroup; compact groups; harmonic analysis},
language = {eng},
number = {2},
pages = {171-180},
title = {Sidonicity in compact, abelian hypergroups},
url = {http://eudml.org/doc/210557},
volume = {76},
year = {1998},
}

TY - JOUR
AU - Hare, Kathryn
TI - Sidonicity in compact, abelian hypergroups
JO - Colloquium Mathematicae
PY - 1998
VL - 76
IS - 2
SP - 171
EP - 180
LA - eng
KW - lacunary set; hypergroups; non-abelian compact groups; Sidon set; lacunarity; -Sidon set; compact abelian hypergroup; compact groups; harmonic analysis
UR - http://eudml.org/doc/210557
ER -

References

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  1. [1] W. Bloom and H. Heyer, Harmonic Analysis of Probability Measures on Hypergroups, de Gruyter Stud. Math. 20, de Gruyter, New York, 1995. Zbl0828.43005
  2. [2] A. Dooley, On lacunary sets for nonabelian groups, J. Austral. Math. Soc. 25 (1978), 167-176. Zbl0381.43006
  3. [3] A. Dooley, Central lacunary sets for Lie groups, ibid. 45 (1988), 30-45. Zbl0689.43003
  4. [4] C. Dunkl and D. Ramirez, Central Sidon sets of bounded representation type, Notices Amer. Math. Soc. 18 (1971), A1101. 
  5. [5] R. E. Edwards and K. A. Ross, p-Sidon sets, J. Funct. Anal. 15 (1974), 404-427. 
  6. [6] J. Fournier and K. Ross, Random Fourier series on hypergroups, J. Austral. Math. Soc. 37 (1984), 45-81. Zbl0576.43004
  7. [7] O. Gebuhrer and A. Schwartz, Sidon sets and Riesz sets for some measure algebras on the disk, Colloq. Math. 72 (1997), 269-279. Zbl0868.43006
  8. [8] K. Hare, Central Sidonicity for compact Lie groups, Ann. Inst. Fourier (Grenoble) 45 (1995), 547-564. Zbl0820.43003
  9. [9] K. Hare and D. Wilson, Weighted p-Sidon sets, J. Austral. Math. Soc. 61 (1996), 73-95. Zbl0874.43005
  10. [10] E. Hewitt and K. Ross, Abstract Harmonic Analysis II, Springer, New York, 1970. Zbl0213.40103
  11. [11] R. Jewett, Spaces with an abstract convolution of measures, Adv. Math. 18 (1975), 1-101. Zbl0325.42017
  12. [12] R. Lasser, Orthogonal polynomials and hypergroups, Rend. Mat. (7) 3 (1983), 185-209. Zbl0538.33010
  13. [13] J. Lopez and K. Ross, Sidon Sets, Lecture Notes in Pure and Appl. Math. 13, Marcel Dekker, New York, 1975. 
  14. [14] D. Ragozin, Central measures on compact simple Lie groups, J. Funct. Anal. 10 (1972), 212-229. Zbl0286.43002
  15. [15] D. Rider, Central lacunary sets, Monatsh. Math. 76 (1972), 328-338. Zbl0258.43008
  16. [16] R. Vrem, Lacunarity on compact hypergroups, Math. Z. 164 (1978), 93-104. Zbl0389.43005
  17. [17] R. Vrem, Harmonic analysis on compact hypergroups, Pacific J. Math. 85 (1979), 239-251. Zbl0458.43002
  18. [18] R. Vrem, Independent sets and lacunarity for hypergroups, J. Austral. Math. Soc. 50 (1991), 171-188. Zbl0729.43007

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