Fourier series
Harmonic analysis, distributions, convolution

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Fourier series
Harmonic analysis, distributions, convolution

Author : Thomas LACHAND-ROBERT

Publication date: November 10, 1993 | Lire en français

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5. Fourier series

Throughout this section, the dimension N of the function definition space is equal to 1; it is possible to define Fourier series in dimension N >1, but this is of little practical use.

5.1 Periodic functions and distributions

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5.1.1 General

Consider a continuous, periodic function f, with period 2π; i.e., verifying : ∀x∈ℝ,f(x+2

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