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Zusammenfassung:
The paper considers properties of the normal modes of linear pulsation of perfect-fluid rotating stars, restricting it to finite-dimensional versions of the problem. It is shown that stars which have the time-azimuth reflection symmetry in their unperturbed state have the property that any right-eigenvalue can be changed into the adjoint of the left-eigenvector for the same eigenvalue; this permits a variational principle for the eigenfrequencies of all the normal modes to be formulated.