1. I> Let ? : ? D ? R be piecewise continuous. Show that for any a, ß ? R, r 2 p 0 ? ( e i? ) d?
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1. I> Let ϕ : ∂D → R be piecewise continuous. Show that for any α, β ∈ R,
r 2π 0
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ϕ(eiθ ) dθ = r
α+2π
α
2π
|
ϕ(eiθ ) dθ =
0
ϕ(ei(β−θ)) dθ.
The first equality is used several times in this section.
