Addition to the paper “Translation invariant subspaces of ” Studia Mathematica 48 (1973), pp. 245-250
Translation invariant subspaces of
Reducible representations of abelian groups
A criterion for reducibility of certain representations of abelian groups is established. Among the applications of this criterion, we give a positive answer to the translation invariant subspace problem for weighted spaces on locally compact abelian groups, for even weights and .
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