2005•Unpublished venueRequires access

Fourier Coefficients and Fourier Series

Eric Stade

Abstract

This chapter contains sections titled: Periodic Functions: Beginning Bits Fourier Coefficients of' 2π-Periodic Functions More on P = 2π Pointwise Convergence of Fourier Series: A Theorem An Application: Evaluation of Infinite Series Gibbs' Phenomenon Uniform Convergence of Fourier Series: A Theorem Derivatives, Antiderivatives, and Fourier Series Functions of Other Periods P > 0 Amplitude, Phase, and Spectra Functions on Bounded Intervals: Standard Fourier Series Other Fourier Series for Functions on Bounded Intervals

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Key concepts: Fourier series, Conjugate Fourier series, Discrete Fourier series, Fourier analysis, Fourier inversion theorem, Mathematics, Fourier transform, Series (stratigraphy)