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The Application of Abel's Method of Summation to Dirichlet's Series

✍ Scribed by Cartwright, M. L.


Book ID
120101170
Publisher
Oxford University Press
Year
1928
Tongue
English
Weight
187 KB
Volume
s1-3
Category
Article
ISSN
0024-6107

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Convergence field of Abel’s summation me
✍ Peter Letavaj πŸ“‚ Article πŸ“… 2012 πŸ› SP Versita 🌐 English βš– 144 KB

Let F (A) denote the set of all bounded sequences summable by Abel's method. It is known, that F (A) is a linear subspace of the linear metric space (S, ρ) of all bounded sequences endowed with the sup metric. It is shown in [KOSTYRKO, P.: Convergence fields of regular matrix transformations 2, Tatr