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Almost periodic functions on hypergroups. (English) Zbl 0431.43007


MSC:

43A60 Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions
20N99 Other generalizations of groups

Citations:

Zbl 0325.42017
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References:

[1] Burckel, R.B.: Weakly almost periodic functions on semigroups. New York: Gordon and Breach 1970 · Zbl 0192.48602
[2] Chilana, A.K., Ross, K.A.: Spectral synthesis in hypergroups. Pacific J. Math.76, 313-328 (1978) · Zbl 0351.43009
[3] De Vito, C.: Characterizations of those ideals inL 1(?) which can be synthesized. Math. Ann.203, 171-173 (1973) · Zbl 0251.43010
[4] Dunkl, C.F.: The measure algebra of a locally compact hypergroup. Trans. Amer. Math. Soc.179, 331-348 (1973) · Zbl 0241.43003
[5] Eberlein, W.F.: A note on Fourier-Stieltjes transforms. Proc. Amer. Math. Soc.6, 310-313 (1955) · Zbl 0065.01604
[6] Eberlein, W.F.: The point spectrum of weakly almost periodic functions. Michigan Math. J.3, 137-139 (1955-1956) · Zbl 0073.30702
[7] Grosser, S., Moskowitz, M.: Compactness conditions in topological groups. J. Reine Angew. Math.246, 1-40 (1971) · Zbl 0219.22011
[8] Hartmann, K., Henrichs, R.W., Lasser, R.: Duals of orbit spaces in groups with relatively compact inner automorphism groups are hypergroups. Monatsh. Math.88, 229-238 (1979) · Zbl 0416.22008
[9] Hewitt, E., Ross, K.A.: Abstract harmonic analysis I, II. Berlin-Heidelberg-New York: Springer 1963/1970 · Zbl 0115.10603
[10] Jewett, R.I.: Spaces with an abstract convolution of measures. Adv. Math.18, 1-101 (1975) · Zbl 0325.42017
[11] Katznelson, Y.: An introduction to harmonic analysis. New York-London-Toronto: John Wiley & Sons 1968 · Zbl 0169.17902
[12] Kitchen, J.W.: Normed modules and almost periodicity. Monatsh. Math.70, 233-243 (1966) · Zbl 0156.37301
[13] Lasser, R.: Primary ideals in centers of group algebras. Math. Ann.229, 53-58 (1977) · Zbl 0344.43004
[14] Liukkonen, J., Mosak, R.: Harmonic analysis and centers of group algebras. Trans. Amer. Math. Soc.195, 147-163 (1974) · Zbl 0292.22010
[15] Mosak, R.: TheL 1- andC*-algebras of [FIA] B ? groups and their representations. Trans. Amer. Math. Soc.163, 277-310 (1972) · Zbl 0213.13601
[16] Ross, K.A.: Hypergroups and centers of measure algebras. Ist. Naz. Alta. Mat. (Symposia Math.)22, 189-203 (1977) · Zbl 0371.43003
[17] Ross, K.A.: Centers of hypergroups. Trans. Amer. Math. Soc.243, 251-269 (1978) · Zbl 0349.43002
[18] Spector, R.: Aperçu de la théorie des hypergroupes. Lecture Notes in Mathematics 497 (Analyse Harmonique sur les Groupes de Lie, Sem. Nancy-Strasbourg 1973-1975). Berlin, Heidelberg, New York: Springer 1975
[19] Spector, R.: Mesures invariantes sur les hypergroupes. Trans. Amer. Math. Soc.239, 147-165 (1978) · Zbl 0428.43001
[20] Ylinen, K.: Characterizations ofB(G) andB(G)?AP(G) for locally compact groups. Proc. Amer. Math. Soc.58, 151-157 (1976) · Zbl 0333.43004
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