Quiz 5

[Kexin Wang]

My question for Quiz5 was to decompose a function into full Fourier Series [0, $\pi$]. I wonder is it equivalent as decompose into full Fourier Series on [$-\pi$, $\pi$]? I understand it is equivalent when the function is even, but I'm wondering what should I do when the function is odd.

[Victor Ivrii]

My question for Quiz5 was to decompose a function into full Fourier Series [0, $\pi$]. I wonder is it equivalent as decompose into full Fourier Series on [$-\pi$, $\pi$]?

No

I understand it is equivalent when the function is even, but I'm wondering what should I do when the function is odd.

What is the problem? There are formulae for interval $[\alpha,\beta]$.