Exponentials on locally compact abelian groups
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- by David Novak and Kelly McKennon PDF
- Proc. Amer. Math. Soc. 83 (1981), 307-314 Request permission
Abstract:
The canonical mapping on the product of a LCA group with its dual is shown to extend uniquely in a homomorphic and analytic way to the product of the respective complexifications.References
- Pierre Eymard, L’algèbre de Fourier d’un groupe localement compact, Bull. Soc. Math. France 92 (1964), 181–236 (French). MR 228628
- Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. I, 2nd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 115, Springer-Verlag, Berlin-New York, 1979. Structure of topological groups, integration theory, group representations. MR 551496 —, Abstract harmonic analysis, Vol. II, Springer-Verlag, Berlin, 1970.
- Kelly McKennon, Analytic distributions, J. Reine Angew. Math. 281 (1976), 164–178. MR 390755, DOI 10.1515/crll.1976.281.164
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 307-314
- MSC: Primary 43A40
- DOI: https://doi.org/10.1090/S0002-9939-1981-0624920-6
- MathSciNet review: 624920