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Generalized Fourier Series: An N log2(N) extension for aperiodic functions that eliminates Gibbs oscillations
This article introduces the Generalized Fourier Series (GFS), a novel spectral method that extends the clas- sical Fourier series to non-periodic functions. GFS addresses key challenges such as the Gibbs phenomenon and poor convergence in non-periodic settings by decomposing functions into periodic
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