S-Rings on Compact Groups (Classic Reprint) - Softcover

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Excerpt from S-Rings on Compact Groups

Even in the finite case, we need a stronger property than a),namely,that the elements of each Gv c glgu should appear in gag with the same multiplicity. In the compact case, this condition is replaced by a measure theoretic condition which we will show is necessary and sufficient in §3. We shall use the notation fiior the closure of I}'in lp(g), for p 2 1. Since l2(g) s l2(g) c c(g), l1(g) c(g) C c(g) and lp(g) c(g) it is easy to see the following. Proposition a) s 3542 c: E?

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