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On Frequencies of Small Oscillations of Some Dynamical Systems Associated with Root Systems

Abstract In the paper by F Calogero and the author [Commun. Math. Phys. 59 (1978), 109– 116] the formula for frequencies of small oscillations of the Sutherland system (A l case) was found. In the present note the generalization of this formula for the case of arbitrary root system is given.