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

Kaniuth, Eberhard

doi:10.1090/S0002-9939-03-07280-0

Extension of positive definite functions from subgroups of nilpotent locally compact groups
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Proc. Amer. Math. Soc. 132 (2004), 865-874 Request permission

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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