Extending positive definite functions from subgroups of nilpotent locally compact groups

DOI10.1016/j.jfa.2016.10.006zbMath1431.43005OpenAlexW2530526503MaRDI QIDQ340972

Eberhard Kaniuth

Publication date: 15 November 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2016.10.006

zbMATH Keywords

Heisenberg groupextensionpositive definite functionnilpotent locally compact group

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Positive definite functions on groups, semigroups, etc. (43A35)

Cites Work

• Restrictions of certain function spaces to closed subgroups of locally compact groups
• Symmetry in Fourier-Stieltjes algebras
• The type structure of the regular representation of a locally compact group
• On the restriction map of the Fourier-Stieltjes algebra \(B(G)\) and \(B_p(G)\)
• Über Fortsetzung positiv definiter Funktionen
• Primitive ideals in enveloping algebras
• Harmonic synthesis for subgroups
• Induced Representations of Locally Compact Groups
• Extension and separation properties of positive definite functions on locally compact groups
• On Onesided Harmonic Analysis
• Scattered $C^*$-algebras.
• Extension of positive definite functions from subgroups of nilpotent locally compact groups
• L'algèbre de Fourier d'un groupe localement compact
• Groups with Finite Dimensional Irreducible Representations
• Extensions of positive-definite functions
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