compact abelian group造句

• The theory, introduced by Lev Pontryagin and combined with Haar measure introduced by John von Neumann, Andr?Weil and others depends on the theory of the locally compact abelian group.
• One use made of Pontryagin duality between compact abelian groups and discrete abelian groups is to characterize the Bohr compactification of an arbitrary abelian " locally compact " topological group.
• Pontryagin duality states that for a locally compact abelian group " G ", the dual of \ hat { G } is the original group " G ".
• If the locally compact abelian group " G " is separable and metrizable ( its topology may be defined by a translation-invariant metric ) then harmonious sets admit another, related, description.
• There is also an interesting link with Wiener's tauberian theorem : any function whose translates are dense in L _ 1 ( G ), where G is a locally compact abelian group, is also uniquely identified by its triple correlation.