Derighetti, Antoine2019-04-052019-04-052019-04-052019-03-0110.15352/aot.1809-1417https://infoscience.epfl.ch/handle/20.500.14299/155913WOS:000462328400014We present a self-contained proof of the following famous extension theorem due to Carl Herz. A closed subgroup H of a locally compact group G is a set of p-synthesis in G if and only if, for every u is an element of A(p)(H) boolean AND C-00(H) and for every epsilon > 0, there is v is an element of A(p)(G) boolean AND C-00(G), an extension of u, such thatparallel to v parallel to A(p)(G) < parallel to u parallel to A(p)(H) + epsilon.Mathematicslocally compact groupset of spectral synthesisextension propertytext::journal::journal article::research article