Boundary behaviour of Dirichlet series with applications to universal series
|Title:||Boundary behaviour of Dirichlet series with applications to universal series||Authors:||Gardiner, Stephen J.
|Permanent link:||http://hdl.handle.net/10197/7982||Date:||5-Oct-2016||Abstract:||This paper establishes connections between the boundary behaviour of functions representable as absolutely convergent Dirichlet series in a half-plane and the convergence properties of partial sums of the Dirichlet series on the boundary. This yields insights into the boundary behaviour of Dirichlet series and Taylor series which have universal approximation properties.||Type of material:||Journal Article||Publisher:||London Mathematical Society||Journal:||Bulletin of the London Mathematical Society||Volume:||48||Issue:||5||Start page:||735||End page:||744||Copyright (published version):||2016 London Mathematical Society||Keywords:||Dirichlet series; Series expansions; Exponential series; Complex plane; Universal Taylor series; Universal Dirichlet series||DOI:||10.1112/blms/bdw037||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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