Author(s)

Antoine Derighetti

EPFL SB-DO, MA A1 354, Station 8, CH-1015 Lausanne, Switzerland.

Let G be a locally compact group, H a closed amenable subgroup and u an element of the Herz Figà-Talamanca algebra of H with compact support, we prove the existence of an extension of u to G, with a good control of the norm and of the support of the extension.

Convolution Operators, Locally Compact Groups, Abstract Harmonic Analysis, Amenable Groups

Derighetti, A. (2014) Amenability and the Extension Property. Applied Mathematics, 5, 2945-2951. doi: 10.4236/am.2014.519279.