ABSTRACT
Let Ω > 0, and let F : https://www.w3.org/1998/Math/MathML"> ℝ ^ → ℂ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003068839/a9c6d10a-3960-4587-a810-325bfb5adf49/content/eq1284.tif"/> be a function. F is 2Ω-periodic with period 2Ω if F(γ + 2Ω) = F(γ) for all γ ∈ https://www.w3.org/1998/Math/MathML"> ℝ ^ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003068839/a9c6d10a-3960-4587-a810-325bfb5adf49/content/eq1285.tif"/> . For example, F(γ) = sin y is 2π-periodic. If F is defined a.e., then F is 2Ω-periodic if F(γ + 2Ω) = F(γ) a.e.
