Generalized random fields and Lévy's continuity Theorem on the space of tempered distributions - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2017

Generalized random fields and Lévy's continuity Theorem on the space of tempered distributions

Abstract

In this note, we recall main properties of generalized random fields and present a proof of the continuity theorem of Paul Lévy for generalized random fields in the space of tempered distributions. This theorem was first proved by Fernique in a more general setting. The aim of this note is to provide a self-contained proof that in particular avoids the abstract theory of nuclear spaces.
Fichier principal
Vignette du fichier
LevyTheorem.pdf (322.26 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01568486 , version 1 (25-07-2017)

Identifiers

  • HAL Id : hal-01568486 , version 1

Cite

Hermine Biermé, Olivier Durieu, Yizao Wang. Generalized random fields and Lévy's continuity Theorem on the space of tempered distributions. 2017. ⟨hal-01568486⟩
220 View
119 Download

Share

Gmail Facebook X LinkedIn More