Locally compact abelian group
Locally Compact Abelian Groups - imscresin
A locally compact abelian group G is compact if and only if the dual group G is discrete. Conversely, G is discrete if and only if G is compact. The Bohr compactification is defined for any topological group G, regardless of whether G is locally compact or abelian.
Locally compact abelian group - Groupprops
SEMIMARTINGALES IN LOCALLY COMPACT ABELIAN GROUPS 453 hx, yi and the identity element of G will be denoted by e. The group
Prove that the Pontryagin dual of a locally compact
A locally compact abelian group (also called a LCA group) is a topological group that is a locally compact group (i. e. , its underlying topological space is a locally compact space) as well as an abelian group.