On one-sided harmonic analysis
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- by Rolf Wim Henrichs
- Proc. Amer. Math. Soc. 80 (1980), 627-630
- DOI: https://doi.org/10.1090/S0002-9939-1980-0587940-5
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Abstract:
It is shown that, in locally compact groups satisfying the onesided version of the Wiener property introduced by Leptin, characters of closed subgroups have always continuous positive definite extensions onto the whole group. We give a quick proof that for such groups the connected component of the identity is the direct product of a compact group and a vector group.References
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- Rolf Wim Henrichs, On characters of subgroups, Nederl. Akad. Wetensch. Indag. Math. 41 (1979), no. 3, 273–281. MR 546368, DOI 10.1016/1385-7258(79)90032-5
- Horst Leptin, On one-sided harmonic analysis in noncommutative locally compact groups, J. Reine Angew. Math. 306 (1979), 122–153. MR 524651, DOI 10.1515/crll.1979.306.122
Bibliographic Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 80 (1980), 627-630
- MSC: Primary 43A35; Secondary 22D05, 43A15
- DOI: https://doi.org/10.1090/S0002-9939-1980-0587940-5
- MathSciNet review: 587940