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  5. Boundary behaviour of Dirichlet series with applications to universal series
 
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Boundary behaviour of Dirichlet series with applications to universal series

Author(s)
Gardiner, Stephen J.  
Manolaki, Myrto  
Uri
http://hdl.handle.net/10197/7982
Date Issued
2016-10-05
Date Available
2016-09-21T09:49:47Z
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
Subjects

Dirichlet series

Series expansions

Exponential series

Complex plane

Universal Taylor seri...

Universal Dirichlet s...

DOI
10.1112/blms/bdw037
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
File(s)
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UDSgen1e.pdf

Size

165.41 KB

Format

Adobe PDF

Checksum (MD5)

190ea87449c4ddfef8f9162cd7f98203

Owning collection
Mathematics and Statistics Research Collection

Item descriptive metadata is released under a CC-0 (public domain) license: https://creativecommons.org/public-domain/cc0/.
All other content is subject to copyright.

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