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research article
On Herz'S Extension Theorem
March 1, 2019
We 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 that
parallel to v parallel to A(p)(G) < parallel to u parallel to A(p)(H) + epsilon.
Type
research article
Web of Science ID
WOS:000462328400014
Authors
Publication date
2019-03-01
Publisher
Published in
Volume
4
Issue
2
Start page
529
End page
538
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
April 5, 2019
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