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Periodic summation

In mathematics, any integrable functions(t){\displaystyle s(t)} can be made into a periodic functionsP(t){\displaystyle s_{P}(t)} with period P by summing the translations of the function s(t){\displaystyle s(t)} by integer multiples of P. This is called periodic summation:sP(t)=∑n=−∞∞s(t+nP){\displaystyle s_{P}(t)=\sum _{n=-\infty }^{\infty }s(t+nP)}The resulting periodic function may not be defined everywhere.

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