Sums and products of periodic functions
There exist two real valued periodic functions on the real line such that, for every x ∈ ℝ, f1(x) + f2(x) = x, but it is impossible to find two real valued periodic functions on the real line such that, for every x ∈ ℝ, f1(x) + f2(x) = x2. The purpose of this note is to prove this result and also to...
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Format: | Article |
Language: | English |
Published: |
Sciendo
2023-05-01
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Series: | Moroccan Journal of Pure and Applied Analysis |
Subjects: | |
Online Access: | https://doi.org/10.2478/mjpaa-2023-0014 |