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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On one-sided harmonic analysis


Author: Rolf Wim Henrichs
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
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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.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0587940-5
Keywords: Left Wiener condition, extension of characters, positive definite functions
Article copyright: © Copyright 1980 American Mathematical Society