Abstract
We show that there exist uncountable sets of divergence for C ( 2 ω ) C({2^\omega }) . We also show that a necessary and sufficient condition that a set E be a set of divergence for L p ( 2 ω ) , 1 > p > ∞ {L^p}({2^\omega }),1 > p > \infty , is that E be of Haar measure zero.
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