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Article | REF: AF145 V1

Distributions - Convolution and Fourier transform

Author: Michel DOISY

Publication date: April 10, 2005, Review date: April 26, 2021

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1. Distribution support

This is an important notion, particularly for the definition of the convolution product of distributions.

Recall that if f is a function of ℝ in ℂ , its support is the complementary of the largest open on which it cancels. Or again: Supp(f)={x∈ℝ/f(x)≠0}

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