## Reviews in Mathematics and Mathematical Physics, Volume 10 |

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### Contents

The problem and the result | 13 |

Proof of the theorem | 21 |

Proof of Lemma 2 3 estimation of | 39 |

Copyright | |

11 other sections not shown

### Common terms and phrases

algebra 21 arbitrary bivector Borel bounded operators brackets of hydrodynamic C*-algebra coefficients compatible condition connection corresponding decomposition defined denote differential differential-geometric dimensional dynamical system equations of associativity ergodic examples exists finite finite-dimensional formula functions Hamiltonian operator Hilbert space homogeneous Poisson homomorphism hydrodynamic type idempotents implies integrable invariant with respect involution irreducible representations Lagrangian system Lemma Let us consider Lie algebra linear loop space mapping Math matrix metric multidimensional non-degenerate non-homogeneous non-linear obtain one-dimensional orbit orthogonal partial isometries Phys Poisson bracket Poisson structures polynomial pro-C problem Proof Proposition pseudo-Riemannian quadratic quantum Riemannian curvature Russian satisfy the relation Section self-adjoint operators semilinear relation skew-symmetric smooth manifolds solutions spectral measure spectrum stationary points structures of hydrodynamic subspace symplectic manifold symplectic operators symplectic structures systems of hydrodynamic tensor Theorem theory tion transformation two-dimensional unbounded unitarily unitary equivalence variables wild zero