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Differential geometry. Global analysis --- 517.986 --- Topological algebras. Theory of infinite-dimensional representations --- 517.986 Topological algebras. Theory of infinite-dimensional representations --- Symplectic manifolds. --- Linear topological spaces. --- Hamiltonian systems. --- Functional analysis. --- Variétés symplectiques --- Espaces vectoriels topologiques --- Systèmes hamiltoniens --- Analyse fonctionnelle --- Functional analysis --- Hamiltonian systems --- Linear topological spaces --- Symplectic spaces --- Line geometry --- Topological linear spaces --- Topological vector spaces --- Vector topology --- Topology --- Vector spaces --- Hamiltonian dynamical systems --- Systems, Hamiltonian --- Differentiable dynamical systems --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Variétés symplectiques. --- Espaces vectoriels topologiques. --- Systèmes hamiltoniens. --- Analyse fonctionnelle.