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References
Bochner, S.: Sturm-Liouville and heat equations whose eigenfunctions are ultraspherical polynomials or associated Bessel functions. In: Proceedings of the Conference on Differential Equations, pp. 23–48. University of Maryland 1955.
Bressoud, D.M.: On partitions, orthogonal polynomials and the expansion of certain infinite products. Proc. London Math. Soc. 42, 478–500 (1981)
Chihara, T.S.: An Introduction to Orthogonal Polynomials. New York: Gordon and Breach 1978.
Dunkl, C.F.: The measure algebra of a locally compact hypergroup. Trans. Amer. Math. Soc. 179, 331–348 (1973)
Faraut, J., Harzallah, K.: Distances hilbertiennes invariantes sur un espace homogène. Ann. Inst. Fourier 24, 171–217 (1974)
Gasper, G.: Banach algebras for Jacobi series and positivity of a kernel. Ann. of Math. 95, 261–280 (1972)
Hartmann, K., Henrichs, R.W. and Lasser, R.: Duals of orbit spaces in groups with relatively compact inner automorphism groups are hypergroups. Mh. Math. 88, 229–238 (1979)
Heyer, H.: Convolution semigroups of probability measures on Gelfand pairs. Expo. Math. 1, 3–45 (1983)
Jewett, R.I.: Spaces with an abstract convolution of measures. Advances in Math. 18, 1–101 (1975)
Kennedy, M.: A stochastic process associated with ultraspherical polynomials. Proc. Royal Irish Acad. 61, Sec. A, 89–100 (1961)
Lasser, R.: Orthogonal polynomials and hypergroups. to appear in Rend. Mat.
Lasser, R.: Bochner theorems for hypergroups and their applications to orthogonal polynomial expansions. J. Approx. Theory 37, 311–325 (1983)
Lasser, R.: Convolution semigroups on hypergroups. Preprint
Ross, K.A.: Centers of hypergroups. Trans. Amer. Math. Soc. 243, 251–269 (1978)
Spector, R.: Aperçu de la théorie des hypergroupes. In: Analyse Harmonique sur les Groupes de Lie. Lecture Notes in Math. Vol.497, pp. 643–673. Springer 1975.
Spector, R.: Measures invariantes sur les hypergroupes. Trans. Amer. Math. Soc. 239, 147–165 (1978)
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Lasser, R. (1984). On the Lévy-Hinčin formula for commutative hypergroups. In: Heyer, H. (eds) Probability Measures on Groups VII. Lecture Notes in Mathematics, vol 1064. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073649
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DOI: https://doi.org/10.1007/BFb0073649
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