An extension theorem and the \(C^1\) splitting lemma in Hilbert space (Q2721623)

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scientific article; zbMATH DE number 1616342
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An extension theorem and the \(C^1\) splitting lemma in Hilbert space
scientific article; zbMATH DE number 1616342

    Statements

    28 October 2002
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    parametrized Morse lemma
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    \(C^1\) functions
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    product space
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    \(C^1\) splitting
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    Hilbert space
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    An extension theorem and the \(C^1\) splitting lemma in Hilbert space (English)
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    The paper presents a version of the parametrized Morse lemma for \(C^1\) functions on a product space and a \(C^1\) splitting result for a \(C^2\) singular germ in a Hilbert space.
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