A Berry-Esseen theorem on semisimple Lie groups

Filippo Tolli

Annales de l'I.H.P. Probabilités et statistiques (2000)

  • Volume: 36, Issue: 3, page 275-290
  • ISSN: 0246-0203

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Tolli, Filippo. "A Berry-Esseen theorem on semisimple Lie groups." Annales de l'I.H.P. Probabilités et statistiques 36.3 (2000): 275-290. <http://eudml.org/doc/77659>.

@article{Tolli2000,
author = {Tolli, Filippo},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Berry-Esseen type estimates; semisimple Lie groups},
language = {eng},
number = {3},
pages = {275-290},
publisher = {Gauthier-Villars},
title = {A Berry-Esseen theorem on semisimple Lie groups},
url = {http://eudml.org/doc/77659},
volume = {36},
year = {2000},
}

TY - JOUR
AU - Tolli, Filippo
TI - A Berry-Esseen theorem on semisimple Lie groups
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2000
PB - Gauthier-Villars
VL - 36
IS - 3
SP - 275
EP - 290
LA - eng
KW - Berry-Esseen type estimates; semisimple Lie groups
UR - http://eudml.org/doc/77659
ER -

References

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  1. [1] Anker J.Ph., Sharp estimates for some functions of the laplacian on symmetric spaces of noncompact type, Duke Math. J.65 (1992) 257-297. Zbl0764.43005MR1150587
  2. [2] Bougerol Ph., Comportement asymptotique des puissances de convolution d'une probabilité sur un espace symétrique, Astérisque Soc. Math. France74 (1980) 29-45. Zbl0463.60009MR588156
  3. [3] Bougerol Ph., Théorème central limite local sur certains groupes de Lie, Ann. Sci. Ec. Norm. Sup.14 (1981) 403-431. Zbl0488.60013MR654204
  4. [4] Feller W., An Introduction to Probability Theory and its Applications, Wiley, New York, 1968. Zbl0155.23101MR228020
  5. [5] Hebisch W., Saloff-Coste L., Gaussian estimates for Markov chains and random walks on groups, Ann. Probab.21 (1993) 673-709. Zbl0776.60086MR1217561
  6. [6] Helgason S., Groups and Geometric Analysis, Academic Press, New York, 1984. Zbl0543.58001MR754767
  7. [7] Lohoué N., Estimations Lp des coefficients de représentation et opérateurs de convolution, Adv. Math.38 (1980) 178-221. Zbl0463.43003MR597197
  8. [8] Schaefer H.H., Banach Lattices of Positive Operators, Springer, Berlin, 1974. Zbl0296.47023MR423039
  9. [9] Varopoulos N.Th., Manuscript. 

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