. . "On Baire and Harmonic Functions"@en . "On Baire and Harmonic Functions" . . "2009-01-01+01:00"^^ . "Praha" . "5"^^ . "Praha" . "331333" . . . "RIV/00216208:11320/09:00207384" . "Po\u0161ta, Petr" . "WDS'09 Proceedings of Contributed Papers: Part I: Mathematics and Computer Sciences" . . . . "RIV/00216208:11320/09:00207384!RIV10-GA0-11320___" . . . "978-80-7378-101-9" . . "On Baire and Harmonic Functions" . . "Baire; Harmonic; Functions"@en . . . . . "On Baire and Harmonic Functions"@en . "11320" . "Let us consider two spaces of harmonic functions. First, the space H(U) of functions harmonic on a bounded open subset U of Rn and continuous to the boundary. Second, the space H0(K) of functions on a compact subset K of Rn which can be harmonically extended on some open neighbourhood of K. A bounded open subset U of Rn is called stable if the space H(U) is equal to the uniform closure of H0(cl(U)). In the paper we discussed whether the stability of U is a necessary condition for the equality of systems of functions which are pointwise limits of the spaces H(U) and H0(cl(U))."@en . "Let us consider two spaces of harmonic functions. First, the space H(U) of functions harmonic on a bounded open subset U of Rn and continuous to the boundary. Second, the space H0(K) of functions on a compact subset K of Rn which can be harmonically extended on some open neighbourhood of K. A bounded open subset U of Rn is called stable if the space H(U) is equal to the uniform closure of H0(cl(U)). In the paper we discussed whether the stability of U is a necessary condition for the equality of systems of functions which are pointwise limits of the spaces H(U) and H0(cl(U))." . "[B4E425AF8C34]" . "1"^^ . "P(GA201/07/0388)" . "1"^^ . "Matfyzpress" .