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KEY WORDS: almost-periodicity, continuous spectrum, Sobolev problems, Coriolis operator, ideal incompressible fluid.Let G be a bounded domain in R s , and let H be the Hilbert space of vector functions L7 = (ul, u2, u3), ui E L2(G), i = 1, 2, 3, with the inner product defined by (U, V) = fG (Ul~l + u2~2 + us~s)dxdydz. 1] for any domain G. It should be pointed out that the qualitative structure of the spectrum of B depends on the configuration of G. On the other hand, the properties of the solutions to the Cauchy problem (1) (such as almost-periodicity in the time variable t) are closely related to the structure of the spectrum. Almost-periodicity of the model problem corresponding to (1) for the case of two space variables, was studied by numerous authors (see the reviews [3,4]). The three-dimensionai problem is much less studied. The structure of the spectrum of the Coriolis operator

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