The periodic decomposition problem

Bálint Farkas, Szilárd Révész

If a function $f:\mathbb{R}\to \mathbb{R}$ can be represented as the sum of $n$ periodic functions as $f=f_1+\cdots +f_n$ with $f(x+{\alpha }_j)=f(x)$ ($j=1,\dots ,n$), then it also satisfies…