Abstract
Recall that a topological group is a group G together with a topological space structure such that the maps G × G→G, (x,y)↦xy and G→G, x↦x-1 are continuous. In what follows all homomorphisms of topological groups are assumed to be continuous. As a rule, only locally compact abelian groups will be considered and additive notation will be used for the group operation.KeywordsBanach SpaceBounded Linear OperatorTrigonometric PolynomialCompact Abelian GroupRequire AssertionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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