Direct sum Decomposition of Spaces of Periodic Functions: $$ \mathbb{P}_n = \bigoplus \limits_{d|n} \ker(Φ_d(E))

Hailu Bikila Yadeta

It was proved that the space ${\mathbb{P}}_p$ of all periodic function of fundamental period $p$ is a direct sum of the space ${\mathbb{P}}_{p/2}$ of all periodic functions of fu…