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One-parameter subgroups in some class of locally convex local Lie groups - MaRDI portal

One-parameter subgroups in some class of locally convex local Lie groups (Q1097557)

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scientific article; zbMATH DE number 4034694
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English
One-parameter subgroups in some class of locally convex local Lie groups
scientific article; zbMATH DE number 4034694

    Statements

    One-parameter subgroups in some class of locally convex local Lie groups (English)
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    1986
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    For one class of local infinite-dimensional Lie groups that contains a group of diffeomorphisms with compact carrier of a finite-dimensional \(C^{\infty}\)-manifold, the author proves that an exponential mapping exists and is infinitely differentiable in some neighborhood of zero.
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    local infinite-dimensional Lie groups
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    group of diffeomorphisms
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    exponential mapping
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