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Weakly almost periodic functions on hypergroups. (English) Zbl 0512.43004


MSC:

43A60 Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions
43A05 Measures on groups and semigroups, etc.
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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] Dixmier, J.: LesC *-Algèbres et leurs Représentations. Paris: Gauthier-Villars. 1969.
[4] Dixmier, J.: Les moyennes invariantes dans les semi-groupes et leurs applications. Acta Sci. Math. Szeged12A, 213-227 (1950). · Zbl 0037.15501
[5] Eberlein, W. F.: Abstract ergodic theorems and weakly almost periodic functions. Trans. Amer. Math. Soc.67, 217-240 (1949). · Zbl 0034.06404 · doi:10.1090/S0002-9947-1949-0036455-9
[6] Eberlein, W. F.: Weak compactness in Banach spaces I. Proc. Nat. Acad. Sci. U.S.A.33, 51-53 (1947). · Zbl 0029.26902 · doi:10.1073/pnas.33.3.51
[7] Grothendieck, A.: Critères de compacité dans les espaces fonctionnels generaux. Amer. J. Math.74, 168-186 (1952). · Zbl 0046.11702 · doi:10.2307/2372076
[8] Hewitt, E., Ross, K. A.: Abstract Harmonic Analysis II. Berlin-Heidelberg-New York: Springer. 1970. · Zbl 0213.40103
[9] Jewett, R. I.: Spaces with an abstract convolution of measures. Advances Math.18, 1-101 (1975). · Zbl 0325.42017 · doi:10.1016/0001-8708(75)90002-X
[10] Lasser, R.: Almost periodic functions on hypergroups. Math. Ann.252, 183-196 (1980). · Zbl 0437.43012 · doi:10.1007/BF01420082
[11] Lasser, R.: Fourier?Stieltjes transforms on hypergroups. (To appear.) · Zbl 0542.43004
[12] Lasser, R.: Orthogonal polynomials and hypergroups. (To appear.) · Zbl 0538.33010
[13] Mosak, R.: TheL 1-andC *-algebras of [FIA] B ? -groups and their representations. Trans. Amer. Math. Soc.163, 277-310 (1972). · Zbl 0213.13601
[14] Ramirez, D. E.: Weakly almost periodic functions. Symp. Math.22, 1-20 (1977). · Zbl 0372.43003
[15] Rudin, W.: Fourier Analysis on Groups. New York: Interscience. 1962. · Zbl 0107.09603
[16] Spector, R.: Apercu de la théorie des hypergroupes.In: Analyse Harmonique sur les Groupes de Lie. Lect. Notes Math. 497, pp. 643-673. Berlin-Heidelberg-New York: Springer. 1975.
[17] Spector, R.: Mesures invariantes sur les hypergroupes. Trans. Amer. Math. Soc.239, 147-165 (1978). · Zbl 0428.43001 · doi:10.1090/S0002-9947-1978-0463806-1
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