Fourier transform of distributions
Distributions - Convolution and Fourier transform

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Fourier transform of distributions


Distributions - Convolution and Fourier transform

Author : Michel DOISY

Publication date: April 10, 2005, Review date: April 26, 2021 | Lire en français

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3. Fourier transform of distributions

The most natural way to define the Fourier transform of a distribution is to pose : T^,φ=T,φ^

The difficulty arises from the fact that for ϕ in D() , φ^...

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