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universal functions
Items for "universal functions"
Universal overconvergence of homogeneous expansions of harmonic functions
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.
Keywords: universal functions, overconvergence
03/2006 | Analysis, Oldenbourg WissenschaftsverlagUniversal Taylor series on non-simply connected domains
In the present paper, we investigate the existence of universal Taylor series on certain non-simply connected domains...
Keywords: universal functions, universal Taylor series, Hadamard-Ostrowski gaps
03/2006 | Analysis, Oldenbourg WissenschaftsverlagA Liouville-type result for lacunary power series and converse results for universal holomorphic functions
A Liouville-type result is proved for holomorphic functions having lacunary power series with restricted growth for a subsequence of the partial sums...
Keywords: Liouville theorem, lacunary power series, universal functions
03/2006 | Analysis, Oldenbourg WissenschaftsverlagUniversal Taylor series on open subsets of Rn
In the case of the complex plane, several notions of universal Taylor series have been introduced, ([10, 2, 19, 20])...
Keywords: universal functions, generic property, Taylor series
03/2006 | Analysis, Oldenbourg WissenschaftsverlagUniversal (pluri)subharmonic functions
In this note, we establish the existence of universal subharmonic functions on Rn and of universal plurisubharmonic functions on Cn.
Keywords: universal functions, plurisubharmonic functions, subharmonic functions
02/2007 | Analysis, Oldenbourg Wissenschaftsverlag