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Harmonic approximation and Sarason's-type theorem - MaRDI portal

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Harmonic approximation and Sarason's-type theorem (Q1867268)

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scientific article; zbMATH DE number 1891282
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English
Harmonic approximation and Sarason's-type theorem
scientific article; zbMATH DE number 1891282

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    Harmonic approximation and Sarason's-type theorem (English)
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    2 April 2003
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    Uniform approximation of bounded harmonic functions on an arbitrary open set in the Euclidean space by harmonic functions arising as solutions of the classical or generalized Dirichlet problem is studied. In particular, an analogue of Sarason's \(H^\infty+C\) theorem (known from the theory of algebras of analytic functions) is established for harmonic functions.
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