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General form of linear functionals over analytic Sobolev spaces. - MaRDI portal

General form of linear functionals over analytic Sobolev spaces. (Q1432116)

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scientific article; zbMATH DE number 2074441
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General form of linear functionals over analytic Sobolev spaces.
scientific article; zbMATH DE number 2074441

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    General form of linear functionals over analytic Sobolev spaces. (English)
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    15 June 2004
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    The authors announce a characterization of linear functionals over analytic Sobolev spaces. They also discuss uniqueness and an analogue for analytic Sobolev spaces of the result that functions in negative order Sobolev spaces are derivatives of \(L^p\) functions. The functions in negative order analytic Sobolev spaces are appropriate derivatives of Bergman functions.
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    analytic Sobolev spaces
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    duality
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