On Beurling’s theorem for locally compact groups
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- by Yitzhak Weit PDF
- Proc. Amer. Math. Soc. 78 (1980), 259-260 Request permission
Abstract:
Beurling’s Theorem in spectral analysis of bounded functions on the real line is generalized to a class of semidirect products of locally compact abelian groups.References
- Arne Beurling, Un théorème sur les fonctions bornées et uniformément continues sur l’axe réel, Acta Math. 77 (1945), 127–136 (French). MR 12701, DOI 10.1007/BF02392224
- Yngve Domar, Harmonic analysis based on certain commutative Banach algebras, Acta Math. 96 (1956), 1–66. MR 78666, DOI 10.1007/BF02392357
- Paul Koosis, On the spectral analysis of bounded functions, Pacific J. Math. 16 (1966), 121–128. MR 190632, DOI 10.2140/pjm.1966.16.121 L. Loomis, Abstract harmonic analysis, Van Nostrand, New York, 1953.
- Peter R. Mueller-Roemer, A tauberian group algebra, Proc. Amer. Math. Soc. 37 (1973), 163–166. MR 324317, DOI 10.1090/S0002-9939-1973-0324317-8
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 259-260
- MSC: Primary 43A45
- DOI: https://doi.org/10.1090/S0002-9939-1980-0550508-0
- MathSciNet review: 550508