Sidonicity in compact, abelian hypergroups

• Autorzy: Kathryn E. Hare
• Języki publikacji: EN

Słowa kluczowe

EN

lacunary set; hypergroups; non-abelian compact groups; Sidon set

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1998
• Tom: 76
• Numer: 2
• Strony: 171-180

Daty

wydano

1998

otrzymano

1997-04-22

Twórcy

autor

Kathryn E. Hare

• Deptartment of Pure Mathematics University of Waterloo Waterloo, Ontario Canada

Bibliografia

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