hello.

could you help me with this question?

i dont know how to begin..

thank you.

http://www.upit.ws/uploads/0ca9c1063ea29.JPG

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- Apr 8th 2008, 05:30 AMgarden catfourier series
hello.

could you help me with this question?

i dont know how to begin..

thank you.

http://www.upit.ws/uploads/0ca9c1063ea29.JPG - Apr 8th 2008, 01:56 PMCaptainBlack
1. What is the Fourier series of $\displaystyle f'$?

2. If $\displaystyle \int_{-\pi}^{\pi} |f'(x)|^2 dx = \int_{-\pi}^{\pi} |f(x)|^2 dx$ what does that tell you about the coeficients of the Fourier series of $\displaystyle f'$ and $\displaystyle f$?

3. What does $\displaystyle f \in E(-\pi, \pi)$ tell you about the Fourier series of $\displaystyle f$?

RonL