APM346-2022S > Quiz 5

Quiz 5

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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:

--- Quote from: 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 [$-\pi$, $\pi$]?
--- End quote ---
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.

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

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