Extension of positive definite functions from subgroups of nilpotent locally compact groups
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Abstract:
We investigate the problem of when closed subgroups $H$ of a nilpotent locally compact group $G$ have the property that every continuous positive definite function on $H$ extends to some such function on $G$.References
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Additional Information
- Eberhard Kaniuth
- Affiliation: Institut für Mathematik, Universität Paderborn, D-33095 Paderborn, Germany
- Email: kaniuth@math.uni-paderborn.de
- Received by editor(s): November 14, 2002
- Published electronically: October 8, 2003
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 865-874
- MSC (2000): Primary 43A35; Secondary 22E25
- DOI: https://doi.org/10.1090/S0002-9939-03-07280-0
- MathSciNet review: 2019967