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On a Tauberian Theorem of Wiener and Pitt

N. Wiener and H. R. Pitt established a tauberian theorem which is "intermediate" between that of Wiener and Ikehara on one hand and a theorem of Hardy and Littlewood on the other. A new proof of the Wiener-Pitt theorem is given, using a technique of Bochner.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 1972-01, Vol.31 (1), p.152-158
Main Author: Diamond, Harold G.
Format: Article
Language:English
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Online Access:Get full text
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Summary:N. Wiener and H. R. Pitt established a tauberian theorem which is "intermediate" between that of Wiener and Ikehara on one hand and a theorem of Hardy and Littlewood on the other. A new proof of the Wiener-Pitt theorem is given, using a technique of Bochner.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-1972-0294944-4