References
N. Ya. Vilenkin, Special Functions and the Theory of Group Representations, Amer. Math. Soc., Providence (1968).
A. A. Kirillov, Elements of the Theory of Representations, Springer-Verlag, Berlin (1970).
I. V. Cherednik, I.M.R.N. (Duke Math. J.),9, 171–180 (1992).
P. I. Etingof and A. A. Kirillov, Jr., Duke Math. J., to appear.
I. B. Frenkel and N. Yu. Reshetikhin, Commun. Math. Phys.,146, 1–60 (1992).
I. G. Macdonald, Publ. I. R. M. A. Strasbourg, 372/S-20, Actes 20 Séminaire Lotharingien, 131–171 (1988).
M. A. Olshanetsky and A. M. Perelomov, Phys. Rep.,94, 313–404 (1983).
V. V. Schechtman and A. N. Varchenko, Inv. Math.,106, 134–194 (1991).
A. Tsuchiya and Y. Kanie, Adv. Stud. Pure Math.,16, 297–372 (1988).
N. Ya. Vilenkin and A. U. Klimyk, Representations of Lie Groups and Special Functions, Kluwer Academic Publishers (1991).
E. T. Whittaker and G. N. Watson, Course of Modern Analysis, 4th edition, Cambridge Univ. Press (1958).
Additional information
Dedicated to I. M. Gel'fand on the occasion of his 80th birthday
Department of Mathematics, Yale University, New Haven, Connecticut. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 28, No. 1, pp. 91–94, January–March, 1994.
Rights and permissions
About this article
Cite this article
Kirillov, A.A., Etingof, P.I. A unified representation-theoretic approach to special functions. Funct Anal Its Appl 28, 73–76 (1994). https://doi.org/10.1007/BF01079011
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01079011