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Literature Cited
I. M. Gel'fand and G. E. Shilov, Theory of Generalized Functions [in Russian], Moscow, Fizmatgiz, No. 1 (1958).
F. A. Berezin, On one representation of operators with the aid of functionals, Trudy Mosk. Matem. O-va, 17, 118–184 (1967).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Derivatives [in Russian], Moscow, Fizmatgiz (1963).
I. M. Gel'fand, Center of an infinitesimal group ring, Matem. sb.,16, No. 1 (1950).
F. A. Berezin, Laplace operators on semisimple Lie groups and certain symmetric spaces, UMN, 12, No. 1, 152–156 (1957).
F. A. Berezin and I. M. Gel'fand, Certain remarks on the theory of spherical functions on symmetric Riemann manifolds, Trudy Mosk. Matem. O-va,5, 311–351 (1956).
F. A. Berezin, Laplace operators on semisimple Lie groups, Trudy Mosk. Matem. O-va,6, 371–463 (1957).
Harish-Chandra, The characters of semisimple Lie groups, Trans. Amer. Math. Soc.,83, 98–163 (1956).
Harish-Chandra, Spherical functions on a semisimple Lie group I, Amer. J. Math,80 (1958).
Harish-Chandra, On some applications of the universal enveloping algebra of a semisimple Lie group algebra, Trans. Amer. Math. Soc.,70, 28–96 (1951).
A. M. Perelomov and V. S. Popov, Casimir operators for the groups U(n) and SU (n), Yadernaya Fizika,3, No. 5, 924–931
A. M. Perelomov and V. S. Popov, Casimir operators for orthogonal groups, Yadernaya Fizika,3, No. 6, 1127–1134.
Additional information
Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 1, No. 2, pp. 1–14, April–June, 1967.
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Berezin, F.A. Some remarks about the associated envelope of a Lie algebra. Funct Anal Its Appl 1, 91–102 (1967). https://doi.org/10.1007/BF01076082
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DOI: https://doi.org/10.1007/BF01076082