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References
F. A. Berezin and I. M. Gelfand, “Some remarks on the theory of spherical functions on symmetric Riemannian manifolds,” Trudy Mosk. Mat. Obshch.,5, 311–351 (1956).
A. H. Dooley, J. Repka, and N. J. Wildberger, “Sums of adjoint orbits,” (to appear).
M. Duflo, “Opérateurs différentiels bi-invariants sur un groupe de Lie,” Ann. Sci. Ecole Norm. Sup.,10, 265–288 (1977).
I. Frenkel, Personal communication.
M. Kashiwara and M. Vergne, “The Campbell—Hausdorff formula and invariant hyperfunctions,” Invent. Math.,47, 249–272 (1978).
A. A. Kirillov, “Characters of unitary representations of Lie groups. Reduction theorems,” Funkts. Anal. Prilozhen.,3, No. 1, 36–47 (1969).
D. L. Ragozin, “Central measures on compact semi-simple Lie groups,” J. Functional Anal.,10, 212–229 (1972).
R. Thompson, “Author vs referee: A case history for middle level mathematicians,” Amer. Math. Monthly,90, No. 10, 661–668 (1983).
V. S. Varadarajan, Harmonic Analysis on Real Reductive Groups, LNM 576, Springer-Verlag, Berlin (1977).
M. Vergne, “A Plancherel formula without group representations,” in: Operator Algebras and Group Representations, II, Neptune (1980), pp. 217–226.
N. J. Wildberger, “On a relationship between adjoint orbits and conjugacy classes of a Lie group,” Canad. Math. Bull.,33, No. 3, 297–304 (1990).
N. J. Wildberger, “Hypergroups and harmonic analysis,” Proc. Centre Math. Anal. (ANU),29, 238–253 (1992).
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School of Mathematics, University of N.S.W., Kensington, Australia. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 27, No. 1, pp. 25–32, January–March, 1993.
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Dooley, A.H., Wildberger, N.J. Harmonic analysis and the global exponential map for compact Lie groups. Funct Anal Its Appl 27, 21–27 (1993). https://doi.org/10.1007/BF01768664
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DOI: https://doi.org/10.1007/BF01768664