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arbitrary assertion assume asymptotic boundary value problem bounded coefficients commutator compact Hausdorff space compact metric space congruences consider constant constructed contains continuous convergence Corollary corresponding defined definition denote differential operators Dirichlet problem Dokl domain eigenvalues element elliptic English transl epimorphism equal estimate exists finite index formula Hausdorff space hence Hilbert cube holds holomorphic homeomorphic induces inequality instability index integral inverse isomorphic lemma is proved Lie algebra linear mapping Math Mathematics Subject Classification matrix metric space modular ideal natural number neighborhood nilpotent norm notation obtain orthogonal p-groups pair g polynomial proof of Theorem properties Proposition Remez algorithm representation respect restriction ring satisfies condition satisfying the conditions selfadjoint semigroup semisimple sequence simple Lie algebra SIO(R solution solvable spectrum spherical pairs subalgebra subgroup subset subspace sufficiently Suppose topological variables vector zero