Distributions - Convolution and Fourier transform : Distribution support

Distribution support
Distributions - Convolution and Fourier transform

Author : Michel DOISY

Review date: April 26, 2021 | Lire en français

Add to my library

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: $Supp (f) = \overset{}{{x \in ℝ / f (x) \neq 0}}$

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
Distribution support

Previous
page Distributions - Convolution and Fourier transform

Convolution product of distributions

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!

Article included in this offer

"Mathematics"

( 168 articles )

Complete knowledge base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

View offer details

Distribution support Distributions - Convolution and Fourier transform

1. Distribution support

References

Distribution support
Distributions - Convolution and Fourier transform