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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Extension of positive definite functions from subgroups of nilpotent locally compact groups


Author: Eberhard Kaniuth
Journal: Proc. Amer. Math. Soc. 132 (2004), 865-874
MSC (2000): Primary 43A35; Secondary 22E25
Published electronically: October 8, 2003
MathSciNet review: 2019967
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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 $G$.


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Additional Information

Eberhard Kaniuth
Affiliation: Institut für Mathematik, Universität Paderborn, D-33095 Paderborn, Germany
Email: kaniuth@math.uni-paderborn.de

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07280-0
PII: S 0002-9939(03)07280-0
Received by editor(s): November 14, 2002
Published electronically: October 8, 2003
Communicated by: N. Tomczak-Jaegermann
Article copyright: © Copyright 2003 American Mathematical Society