On representations of Baire functions in a given family as sums of Baire Darboux functions with a common summand
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We consider two spaces of harmonic functions. First, the space H(U) of functions harmonic on a bounded open subset U of R and continuous to the boundary. Second, the space H0(K) of functions on a compact subset K of R n which can be harmonically extended on some open neighbourhood of K. A bounded open subset U of R is called stable if the space H(U) is equal to the uniform closure of H0(U ). We...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1987
ISSN: 0528-2195
DOI: 10.21136/cpm.1987.118314