Article | REF: AF101 V1

Functional analysis - Part 2

Author: Gilles GODEFROY

Publication date: July 10, 2003

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2. Fourier transform

We have already come across some aspects of Fourier analysis (cf. article [ AF 100 , § 2]). In this section, we'll look at some applications of Fourier methods to the solution of partial differential equations. It should be remembered that J.B. Fourier was led to consider the series that bear his name when he sought (in his 1807 memoir) to solve the "heat equation".

We'll need the following notations.

Ratings

The normalized Lebesgue measure

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Fourier transform

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