On non-quasianalytic representations of Abelian groups

Анотація

We study representations T_g of a locally compact Abelian group G with a scattered spectrum satisfying the conditions: there exists SÌG such that G = S-S and for all sÎS
||T_ns||=o(n^k), k³1, ln||T_-ns||=o(Ön;̅), as n→+¥.