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Spherical functions on wreath products. (English) Zbl 0369.43015

MSC:
43A90 Harmonic analysis and spherical functions
20C30 Representations of finite symmetric groups
20E22 Extensions, wreath products, and other compositions of groups
33C80 Connections of hypergeometric functions with groups and algebras, and related topics
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[1] Curtis, C.W.; Reiner, I., Representation theory of finite groups and associative algebras, (1962), Interscience New York-London · Zbl 0131.25601
[2] Dunkl, C.F.; Ramirez, D.E., Krawtchouk polynomials and the symmetrization of hypergroups, SIAM J. math. anal., 5, 351-366, (1974) · Zbl 0249.43006
[3] Durbin, J.R., On locally compact wreath products, Pacific J. math., 57, 99-107, (1975) · Zbl 0293.22012
[4] Erdelyi, A.; Magnus, W.; Oberhettinger, F.; Tricomi, F.G., Higher transcendental functions, Vol. II, (1953), McGraw-Hill New York · Zbl 0051.30303
[5] Gaal, S.A., Linear analysis and representation theory, (1973), Springer-Verlag New York-Heidelberg-Berlin · Zbl 0275.43008
[6] Kerber, A., Representation of permutation groups I, () · Zbl 0165.34202
[7] Mackey, G.W., On induced representations of groups, Amer. J. math., 73, 576-592, (1951) · Zbl 0045.30305
[8] Miller, W., Lie theory and special functions, (1968), Academic Press New York · Zbl 0174.10502
[9] Travis, Dennis, Spherical functions on finite groups, J. algebra, 29, 65-76, (1974) · Zbl 0293.20006
[10] Vere-Jones, D., Finite bivariate distributions and semigroups of nonnegative matrices, Quart. J. of math., 22, 2, 247-270, (1971), Oxford · Zbl 0215.40201
[11] Vilenkin, N.Ja., Special functions and the theory of group representations, () · Zbl 0826.22001
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