Hello,(adsbygoogle = window.adsbygoogle || []).push({});

I am currently dealing with Fourier Series, and a question about the period length of a product of two periodic functions is bothering me. If you have two different periodic functions with different (or the same) period and you sum them up, what happens to the period? Can this generally be said? Also (and this is what I'm especially interested in), what happens to the period of the product of these functions?

Another question: Fourier coefficients, no matter if real or complex, all go over any periodic interval of a function. Actually what happens if you (deliberately) chose an interval which is two times or three times the period? Does it (generally) still work?

kP

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Period length of product of two periodic function, Fourier Series

**Physics Forums | Science Articles, Homework Help, Discussion**