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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On a general Tauberian theorem


Author: T. T. Moh
Journal: Proc. Amer. Math. Soc. 36 (1972), 167-172
MSC: Primary 40E05
DOI: https://doi.org/10.1090/S0002-9939-1972-0316935-7
MathSciNet review: 0316935
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Abstract: In this article the celebrated Tauberian theorem by Norbert Wiener ([1], [2]) is considerably extended by the introduction of a wider class of translation kernels. A number of applications are given to show the fruitfulness of this new generalization.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0316935-7
Keywords: Translation kernel, spectrum of $ \psi $
Article copyright: © Copyright 1972 American Mathematical Society