Which amalgams are convolution algebras?
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- by James Stewart and Saleem Watson PDF
- Proc. Amer. Math. Soc. 93 (1985), 621-627 Request permission
Abstract:
We determine necessary and sufficient conditions on a locally compact abelian group $G$ for the amalgam $\left ( {{L^p},{l^q}} \right )\left ( G \right )$ to be an algebra under convolution. If $q > 1,G$ must be compact; if $p < 1,G$ must be discrete. If $p \geqslant 1$ and $q \leqslant 1$, the amalgam is always an algebra.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 621-627
- MSC: Primary 43A15
- DOI: https://doi.org/10.1090/S0002-9939-1985-0776191-1
- MathSciNet review: 776191