Eli Bendersky 5/28/2026

Notes on Fourier series

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This article provides detailed notes on the trigonometric Fourier series, explaining how to decompose a periodic function into an infinite sum of sinusoids. It covers the derivation of Fourier coefficients a_n and b_n through integration steps, including multiplying by cosine and sine terms. The content also touches on the connection to linear algebra in Hilbert space, making it relevant for those studying signal processing, mathematics, or theoretical computer science.

Notes on Fourier series

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