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Addition to the paper “Translation invariant subspaces of $L_{p} (G)$ ” Studia Mathematica 48 (1973), pp. 245-250

Aharon Atzmon — 1975

Studia Mathematica

Translation invariant subspaces of $L^{p} (G)$

Aharon Atzmon — 1973

Studia Mathematica

Reducible representations of abelian groups

Aharon Atzmon — 2001

Annales de l’institut Fourier

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 $L^{p}$ spaces on locally compact abelian groups, for even weights and $1 < p < \infty$ .

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