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Published online by Cambridge University Press: 20 November 2018
1. Definition. Let λ ≡ λ(ω) be continuous, differentiable, and monotonie increasing in (0, ∞) and let it tend to infinity as ω → ∞. A series an is summable |R, λ, r|, where r > 0, if
where A is a fixed positive number (6, Definition B).
Let f(t) be a periodic function with period 2π and Lebesgue integrable over (–π, π) and let
1.1
The series conjugate to (1.1), at t = x, is
1.2