Literature cited
N. Ya. Vilenkin, Special Functions and the Theory of Group Representations [in Russian], Nauka, Moscow (1965).
P. Gangolli, “Isotropic infinitely divisible measures on symmetric spaces,” Acta Math.,111, 213–246 (1964).
S. Bochner, “Positive zonal functions on spheres,” Proc. Nat. Acad. Sci.,40, 1141–1147 (1954).
J. Lamperti, “The arithmetic of certain semigroups of positive operators,” Proc. Cambridge Philos. Soc.,64, 161–166 (1968).
I. P. Trukhina, “On one problem connected with the arithmetic of probability measures on a sphere,” J. Sov. Math.,17, No. 6 (1981).
H. Bateman and A. Erdelyi, Higher Transcendental Functions [Russian translation], Vol. 1, Nauka, Moscow (1974).
Additional information
Translated from Problemy Ustoichivosti Stokhasticheskikh Modelei — Trudy Seminara, pp. 137–145, 1985.
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Trukhina, I.P. Estimates of stability of decompositions in the Lamperti semigroup of probability measures on a sphere. J Math Sci 40, 561–568 (1988). https://doi.org/10.1007/BF01083655
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DOI: https://doi.org/10.1007/BF01083655