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 : $\forall x \in ℝ, f (x + 2$

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References

(1) - ARSAC (J.) - Transformation de Fourier et théorie des distributions. - Dunod (Exemples physiques) (1961).
(2) - BATEMAN (H.) - Tables of Integrals transforms. - McGraw-Hill, New-york (1954).
(3)...

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