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Undergrad Parseval's theorem and Fourier Transform proof
Given a function F(t) $$ F(t) = \int_{-\infty}^{\infty} C(\omega)cos(\omega t) d \omega + \int_{-\infty}^{\infty} S(\omega)sin(\omega t) d \omega $$ I am looking for a proof of the following: $$ \int_{-\infty}^{\infty} F^{2}(t) dt= 2\pi\int_{-\infty}^{\infty} (C^{2}(\omega) + S^{2}(\omega)) d...- Ineedhelp0
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- Fourier Fourier analysis Fourier coefficients Fourier transform Parseval's theorem Proof Theorem Transform
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- Forum: Calculus