Approximation of surface measures in a locally convex space (Q1810227)

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scientific article; zbMATH DE number 1928317
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Approximation of surface measures in a locally convex space
scientific article; zbMATH DE number 1928317

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    Approximation of surface measures in a locally convex space (English)
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    15 June 2003
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    The main goal of this paper is to obtain an analog of the surface layer theorem for a measure given on a locally convex space with continuously and densely embedded Hilbert subspace (for a surface of finite codimension). In this paper, the definition of the surface layer and the proof of the theorem essentially use the fact that the original space is equipped with a norm.
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    surface measure
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    surface layer theorem
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    locally convex space
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