Author Topic: Quiz 5  (Read 303 times)

Kexin Wang

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Quiz 5
« 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.
« Last Edit: March 27, 2022, 10:27:40 AM by Kexin Wang »

Victor Ivrii

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Re: Quiz 5
« Reply #1 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 $[\alpha,\beta]$.