Convolution powers of spread-out probabilities

Michael Lin; Rainer Wittmann

Annales de l'I.H.P. Probabilités et statistiques (1996)

  • Volume: 32, Issue: 5, page 661-667
  • ISSN: 0246-0203

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Lin, Michael, and Wittmann, Rainer. "Convolution powers of spread-out probabilities." Annales de l'I.H.P. Probabilités et statistiques 32.5 (1996): 661-667. <http://eudml.org/doc/77551>.

@article{Lin1996,
author = {Lin, Michael, Wittmann, Rainer},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {locally compact sigma-compact group; spread-out probability; uniformly convex Banach space},
language = {eng},
number = {5},
pages = {661-667},
publisher = {Gauthier-Villars},
title = {Convolution powers of spread-out probabilities},
url = {http://eudml.org/doc/77551},
volume = {32},
year = {1996},
}

TY - JOUR
AU - Lin, Michael
AU - Wittmann, Rainer
TI - Convolution powers of spread-out probabilities
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1996
PB - Gauthier-Villars
VL - 32
IS - 5
SP - 661
EP - 667
LA - eng
KW - locally compact sigma-compact group; spread-out probability; uniformly convex Banach space
UR - http://eudml.org/doc/77551
ER -

References

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  1. [A] R. Azencott, Espaces de Poisson des groupes localement compactes, Springer Lecture Notes Math., Vol. 148, 1970. Zbl0208.15302MR501376
  2. [DL] Y. Derriennic and M. Lin, Convergence of iterates of averages of certain operator representations and of convolution powers, J. Funct. Anal., Vol. 85, 1989, pp. 86-102. Zbl0712.22008MR1005857
  3. [F] S.R. Foguel, Iterates of a convolution on a non-Abelian group, Ann. Inst. Poincaré, Vol. B11, 1975, pp. 199-202. Zbl0312.60004MR400332
  4. [G] S. Glasner, On Choquet-Deny measures, Ann. Inst. Poincaré, Vol. B12, 1976, pp. 1-10. Zbl0349.60006MR488299
  5. [J] W. Jaworski, On the asymptotic and invariant σ-algebras of random walks on locally compact groups, Prob. Th. and Related Fields, Vol. 101, 1995, pp. 147-171. Zbl0815.60063MR1318190
  6. [LW] M. Lin and R. Wittmann, Convergence of representation averages and of convolution powers, Israel J. Math., Vol. 88, 1994, pp. 125-157. Zbl0815.60007MR1303492
  7. [M] D. Mindlin, Rate of convergence for the convolutions of measures on compact groups, Theory of Probability and Appl., Vol. 35, 1990, pp. 368-373. Zbl0739.60005MR1069137
  8. [RX] K.A. Ross and D. Xu, Norm convergence of random walks on compact hypergroups, Math. Z., Vol. 214, 1993, pp. 415-423. Zbl0796.60007MR1245203

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