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Representations of semi direct products of groups
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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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CONTENTSIntroduction...................................................................................................... 5Chapter I. Invariant kernels on locally compact groups and cyclicrepresentations....................................................................................................... 8 1. Distributions on topological groups.......................................... 8 2. Invariant kernels and cyclic representations.................................... 9 3. Generalized...
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