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Regularity of linear operators with respect to the group of diffeomorphisms (Q2762987)

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scientific article; zbMATH DE number 1689832
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English
Regularity of linear operators with respect to the group of diffeomorphisms
scientific article; zbMATH DE number 1689832

    Statements

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    22 January 2002
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    linear operators
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    regularity
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    differential operators
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    group of diffeomorphisms
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    right-invariant bundle morphisms
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    right-invariant objects smoothness
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    Regularity of linear operators with respect to the group of diffeomorphisms (English)
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    Author's review: The regularity of linear operators with respect to the operation \(D(M),\) the group of diffeomorphisms of the compact manifold \(M,\) is examined. The results obtained permit to construct the nontrivial examples of the right-invariant bundle morphisms over \(D(M)\) and to simplify the proofs of well known theorems on the right-invariant objects smoothness.
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