Extension of positive definite functions from subgroups of nilpotent locally compact groups-Reference-Cited by-同舟云学术

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

Published:2003-10-08 Issue:3 Volume:132 Page:865-874
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kaniuth Eberhard

Abstract

We investigate the problem of when closed subgroups H H of a nilpotent locally compact group G G have the property that every continuous positive definite function on H H extends to some such function on G G .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2004-132-03/S0002-9939-03-07280-0/S0002-9939-03-07280-0.pdf

Reference19 articles.

1. Topological Frobenius properties for nilpotent groups;Bekka, Mohammed E. B.;Math. Scand.,1988

2. On the restriction map of the Fourier-Stieltjes algebra 𝐵(𝐺) and 𝐵_{𝑝}(𝐺);Carling, L. N.;J. Functional Analysis,1977

3. Restrictions of certain function spaces to closed subgroups of locally compact groups;Cowling, Michael;Pacific J. Math.,1979

4. North-Holland Mathematical Library, Vol. 15;Dixmier, Jacques,1977

5. L’algèbre de Fourier d’un groupe localement compact;Eymard, Pierre;Bull. Soc. Math. France,1964

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Extension of local positive definite Z2n-superfunctions;Journal of Mathematical Analysis and Applications;2024-01

2. Extending positive definite functions from subgroups of nilpotent locally compact groups;Journal of Functional Analysis;2017-01

3. Extension and separation properties of positive definite functions on locally compact groups;Transactions of the American Mathematical Society;2006-08-24