Comptes Rendus
no. 7
Probability Theory
Convergence in law for certain additive functionals of symmetric stable processes under strong topology
[Convergence en loi pour certaines fonctionnelles additives d'un processus stable symétrique sous une topologie forte]

Présenté par : Marc Yor

Mohamed Ait Ouahra1
1 Departement of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, B.P. 2390, Marrakech 40.001, Morocco
Comptes Rendus. Mathématique, Volume 340 (2005) no. 7, pp. 519-524.

We give some limit theorems of certain additive functionals for symmetric stable process of index 1<α⩽2 in anisotropic Besov space. These results generalize those obtained by Eisenbaum (1997) and by Csaki et al. (2002).

Nous donnons certains théorèmes limites pour certaines fonctionnelles additives d'un processus stable symétrique d'indice 1<α⩽2 dans une classe d'espace de Besov anisotropique. Ces résultats généralisent ceux obtenus par Eisenbaum (1997) et par Csaki et al. (2002).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2005.02.013

Mohamed Ait Ouahra 1

1 Departement of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, B.P. 2390, Marrakech 40.001, Morocco 
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Mohamed Ait Ouahra. Convergence in law for certain additive functionals of symmetric stable processes under strong topology. Comptes Rendus. Mathématique, Volume 340 (2005) no. 7, pp. 519-524. doi : 10.1016/j.crma.2005.02.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.02.013/

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