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Universal overconvergence of homogeneous expansions of harmonic functions. (English) Zbl 1132.31002
Summary: On certain domains of Euclidean space, we establish the existence of harmonic functions, which are universal in the sense that their Taylor polynomials approximate all plausibly approximable functions in the complement of the domain.

31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions
41A10 Approximation by polynomials
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[1] DOI: 10.1006/jath.2002.3718 · Zbl 1374.31002
[2] DOI: 10.1016/0022-247X(71)90049-7 · Zbl 0224.30006
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[9] DOI: 10.1090/S0002-9904-1929-04753-0
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