@article{AIHPB_1993__29_3_339_0,
author = {Hazod, W.},
title = {Probabilities on contractible locally compact groups : the existence of universal distributions in the sense of W. Doeblin},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
volume = {29},
year = {1993},
pages = {339-355},
mrnumber = {1246638},
zbl = {0812.60013},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPB_1993__29_3_339_0}
}
Hazod, W. Probabilities on contractible locally compact groups : the existence of universal distributions in the sense of W. Doeblin. Annales de l'I.H.P. Probabilités et statistiques, Tome 29 (1993) pp. 339-355. http://gdmltest.u-ga.fr/item/AIHPB_1993__29_3_339_0/
[Ba1] , Universal Doeblin Distributions in a Hilbert Space, Bull. Acad. Pol. Sci., Vol. 26, 1977, pp. 343-346. | MR 504436 | Zbl 0424.60005
[Ba2] , Domain of Partial Attraction for Infinitely Divisible Distributions in a Hilbert Space, Coll. Math., Vol. 28, 1973, pp. 317-322. | MR 350799 | Zbl 0244.60001
[Doe] , Sur l'ensemble de puissances d'une loi de probabilité, Studia Math., Vol. 9, 1940, pp. 71-96; Reprint: Ann. E. Norm. Sup. Vol. 63, 1947, pp. 317-350. | JFM 66.0610.02 | Numdam | MR 5541 | Zbl 0063.01128
[F] , An Introduction to Probability Theory and its Applications, vol. II, 2nd. Ed., J. Wiley & Sons, New York-London, 1971.
[Ha] , Stetige Faltungshalbgruppen von Wahrscheinlichkeitsmaßen und erzeugende Distributionen, Lecture Notes in Mathematics 595, Springer, 1977. | MR 488208 | Zbl 0373.60010
[H-S] and , The Domains of Partial Attraction of Probabilities on Groups and on Vector Spaces, J. Th. Probability, Vol. 6, 1993, pp. 175-186. | MR 1201063 | Zbl 0789.60007
[He] , Probability Measures on Locally Compact Groups, Berlin-Heidelberg- New York, Springer, 1977. | MR 501241 | Zbl 0376.60002
[Kh] , The Domain of Normal Attraction of a Stable Probability Measure on a Nilpotent Group, in: Probability measures on groups X, Proceedings Oberwolfach, 1990, pp. 239-247, New York, London, Plenum, 1991. | MR 1178987 | Zbl 0821.60009
[M-R] , Kontrahierbare Erweiterungen kontrahierbarer Gruppen, J. Reine Angew. Math., Vol. 283/284, 1976, pp. 238-264. | MR 407194 | Zbl 0341.43003
[No1] , Grenzwertsätze für Wahrscheinlichkeitsmaße auf einfach zusammenhängenden nilpotenten Liegruppen, Dissertation Universität Dortmund, 1988. | Zbl 0692.60006
[No2] , Limit Theorems for Probability Measures on Simply Connected Nilpotent Lie Groups, J. Th. Probability, Vol. 4, 1991, pp. 261-284. | MR 1100234 | Zbl 0722.60011
[Ph] , Universal Distributions for Infinitely Divisible Distributions on Fréchet Spaces, Ann. I. H. Poincaré, Sect. B., Vol. 17, 1981, pp. 219-227. | Numdam | MR 625342 | Zbl 0459.60016
[S] , Infinitely Divisible Measures on p-adic Groups, J. Th. Probability, Vol. 4, 1991, pp. 391-406. | MR 1100241 | Zbl 0725.60011
[Si1] , Fourier Analysis and Limit Theorems for Convolution Semigroups on a Locally Compact Group, Adv. Math., Vol. 39, 1981, pp. 111-154. | MR 609202 | Zbl 0469.60014
[Si2] , Einbettung unendlich teilbarer Wahrscheinlichkeitsmaße auf topologischen Gruppen. Z. Wahrscheinlichkeitstheorie verw. Gebiete, Vol. 28, 1974, pp. 227-247. | MR 362434 | Zbl 0264.60004
[Si3] , Contractive Automorphisms on Locally Compact Groups, Math. Z., Vol. 191, 1986, pp. 73-90. | MR 812604 | Zbl 0562.22002
[Si4] , Semistable Convolution Semigroups and the Topology of Contraction Groups, in: Probability Measures on groups IX, Oberwolfach, 1988, Lecture Notes Math. 1979, Springer, 1989. | MR 1020538 | Zbl 0699.22002
[Th] , A New Version of Doeblin's Theorem, Bull. Acad. Pol. Sci. Ser. Sci. Math., Vol. 29, 1981, pp. 643-648. | MR 654227 | Zbl 0499.60004