On a general Tauberian theorem
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- by T. T. Moh PDF
- Proc. Amer. Math. Soc. 36 (1972), 167-172 Request permission
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.References
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- Norbert Wiener, Tauberian theorems, Ann. of Math. (2) 33 (1932), no. 1, 1–100. MR 1503035, DOI 10.2307/1968102
- Wolfgang B. Jurkat, Ein funktionentheoretischer Beweis für $O$-Taubersätze bei den Verfahren von Borel und Euler-Knopp, Arch. Math. (Basel) 7 (1956), 278–283 (German). MR 81987, DOI 10.1007/BF01900304
Additional Information
- © Copyright 1972 American Mathematical Society
- 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