[Convergence en loi pour certaines fonctionnelles additives d'un processus stable symétrique sous une topologie forte]
Nous donnons certains théorèmes limites pour certaines fonctionnelles additives d'un processus stable symétrique d'indice dans une classe d'espace de Besov anisotropique. Ces résultats généralisent ceux obtenus par Eisenbaum (1997) et par Csaki et al. (2002).
We give some limit theorems of certain additive functionals for symmetric stable process of index in anisotropic Besov space. These results generalize those obtained by Eisenbaum (1997) and by Csaki et al. (2002).
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@article{CRMATH_2005__340_7_519_0,
author = {Ait Ouahra, Mohamed},
title = {Convergence in law for certain additive functionals of symmetric stable processes under strong topology},
journal = {Comptes Rendus. Math\'ematique},
pages = {519--524},
publisher = {Elsevier},
volume = {340},
number = {7},
year = {2005},
doi = {10.1016/j.crma.2005.02.013},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2005.02.013/}
}
TY - JOUR AU - Ait Ouahra, Mohamed TI - Convergence in law for certain additive functionals of symmetric stable processes under strong topology JO - Comptes Rendus. Mathématique PY - 2005 SP - 519 EP - 524 VL - 340 IS - 7 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2005.02.013/ DO - 10.1016/j.crma.2005.02.013 LA - en ID - CRMATH_2005__340_7_519_0 ER -
%0 Journal Article %A Ait Ouahra, Mohamed %T Convergence in law for certain additive functionals of symmetric stable processes under strong topology %J Comptes Rendus. Mathématique %D 2005 %P 519-524 %V 340 %N 7 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2005.02.013/ %R 10.1016/j.crma.2005.02.013 %G en %F CRMATH_2005__340_7_519_0
Ait Ouahra, Mohamed. Convergence in law for certain additive functionals of symmetric stable processes under strong topology. Comptes Rendus. Mathématique, Tome 340 (2005) no. 7, pp. 519-524. doi : 10.1016/j.crma.2005.02.013. http://www.numdam.org/articles/10.1016/j.crma.2005.02.013/
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