Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Extension of Wiener's Tauberian identity and multipliers on the Marcinkiewicz space


Author: Ka-Sing Lau
Journal: Trans. Amer. Math. Soc. 277 (1983), 489-506
MSC: Primary 42A45; Secondary 42A38
MathSciNet review: 694372
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: This is a continuation of the work of Bertrandias, Lee and Lau on Wiener's generalized harmonic analysis. Among the other results, we extend Wiener's Tauberian identity to cover a larger class of functions; we characterize the multipliers on the Marcinkiewicz space $ {\mathcal{M}^2}$, and we obtain a Tauberian theorem on $ {\mathcal{M}^2}$ with full generality.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 42A45, 42A38

Retrieve articles in all journals with MSC: 42A45, 42A38


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1983-0694372-5
PII: S 0002-9947(1983)0694372-5
Article copyright: © Copyright 1983 American Mathematical Society