A series of the form
∑
m=1∞amrm(t), where {am} is a sequence of real numbers and rm(t) denotes the
m-th Rademacher function, sign sin(2mπt), is called a Rademacher series (as usual,
sign 0 = 0).
Letting f(t) denote the sum of this series whenever it exists, we shall investigate
the effect that various conditions on {am} have on the continuity, variation, and
differentiability properties of f.
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