3. Fourier transform of distributions

The most natural way to define the Fourier transform of a distribution is to pose : $〈 \hat{T}, φ 〉 = 〈 T, \hat{φ} 〉$

The difficulty arises from the fact that for ϕ in $D (ℝ)$ , $\hat{φ}$ ...

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!

Ongoing reading
Fourier transform of distributions

Article included in this offer

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

References

(1) - GASQUET (C.), WITOMSKI (P.) - Analyse de Fourier et applications. Filtrage – Calcul Numérique – Ondelettes - . 354 p. – Masson – Paris (1990).
(2) - HERVÉ (M.) - Transformation de Fourier et distributions - . 182 p. – PUF – Paris (1986).

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!