# Toronto Math Forum

## APM346-2022S => APM346--Tests & Quizzes => Quiz 5 => Topic started by: Kexin Wang on March 27, 2022, 10:06:51 AM

Title: Quiz 5
Post by: Kexin Wang on March 27, 2022, 10:06:51 AM
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.
Title: Re: Quiz 5
Post by: Victor Ivrii on March 27, 2022, 11:44:46 AM
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
Quote
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 $[\alpha,\beta]$.