References
V. P. Maslov, The Theory of Perturbations and Asymptotic Methods [in Russian], izd. MGU, Moscow (1965).
T. B. Keller and S. I. Rubinow, Ann. Phys.,9, no. 1, 24 (1960).
L. D. Landau and E. M. Lifshits, Mechanics [in Russian], izd. Nauka, Moscow, 1965.
V. I. Arnol'd, Sib. mat. zh.,4, No. 2, 471 1963.
N. Ya. Vilenkin, Special Functions and the Theory of Group Representations [in Russian], izd. Nauka, Moscow, 1965.
Additional information
Scientific-Research Institute of Applied Mathematics and Cybernetics, Gorky University. Translated from Izvestiya VUZ. Radiofizika, Vol. 12, No. 11, pp. 1681–1689, November 1969.
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Kogan, V.R. The asymptotic form of the Laplace-Beltrami operator on the n-dimensional sphere En . Radiophys Quantum Electron 12, 1311–1317 (1969). https://doi.org/10.1007/BF01030868
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DOI: https://doi.org/10.1007/BF01030868