On one-sided harmonic analysis
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- by Rolf Wim Henrichs PDF
- Proc. Amer. Math. Soc. 80 (1980), 627-630 Request permission
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
- Frederick P. Greenleaf, Invariant means on topological groups and their applications, Van Nostrand Mathematical Studies, No. 16, Van Nostrand Reinhold Co., New York-Toronto, Ont.-London, 1969. MR 0251549
- Siegfried Grosser and Martin Moskowitz, Compactness conditions in topological groups, J. Reine Angew. Math. 246 (1971), 1–40. MR 284541, DOI 10.1515/crll.1971.246.1
- 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
Additional 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