Keywords
- Vector Space
- Invariance Group
- Proper Subspace
- Convolution Semigroup
- Lecture Note Math
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Baldi, P.: Lois stables sur les deplacements de ℝd. In: Probability measures on groups. Proceedings Oberwolfach (1978). Lecture Notes in Math. 706, 1–9. Springer (1979).
Billingsley, P.: Convergence of types in k-spaces. Z. Wahrscheinlichkeitstheorie verw. Geb. 5, 175–179 (1966).
Drisch, T., Gallardo, L.: Stable laws on the Heisenberg group. In: Probability measures on groups. Proceedings Oberwolfach (1983). Lecture Notes Math. 1064, 56–79 (1984).
Drisch, T., Gallardo, L.: Stable laws on the diamond group. Unpublished manuscript.
Feller, W.: An Introduction to Probability Theory and its Applications Vol. II. New York: Wiley (1966).
Fisz, M.: A generalization of a theorem of Khintchin. Studia Math. 14, 310–313 (1954).
Gnedenko, B.W., Kolmogorov, A.N.: Limit distributions for sums of independent random variables. Cambridge: Addison-Wesley (1954).
Hazod, W.: Stable probability measures on groups and on vector spaces. A survey. In: Probability measures on groups VIII. Proceedings, Oberwolfach (1985). Lecture Notes Math. 1210, 304–352 (1986).
Hazod, W., Siebert, E.: Continuous automorphism groups on a locally compact group contracting modulo a compact subgroup and applications to stable convolution semigroups. Semigroup Forum 33, 111–143 (1986).
Hazod, W., Siebert, E.: Automorphisms on a Lie group contracting modulo a compact subgroup and applications to semistable convolution semigroups. J. of Theoretical Probability 1, 211–226 (1988).
Hochschild, G.: The structure of Lie groups. San Francisco-London-Amsterdam: Holden Day Inc. (1965).
Jajte, R.: Semistable probability measures on ℝN. Studia Math. 61, 29–39 (1977).
Jurek, Z.J.: Convergence of types, self-decomposability and stability of measures on linear spaces. In: Probability in Banach Spaces III. Proceedings Medford (1980). Lecture Notes Math. 860, 257–267 (1981).
Letta, G.: Eine Bemerkung zum Konvergenzsatz für Verteilungstypen. Z. Wahrscheinlichkeitstheorie verw. Geb. 2, 310–313 (1964).
Linde, W., Siegel, G.: On the convergence of types for Radon probability measures in Banach spaces. Probability on Banach Spaces. Sønderborg. Proceedings. Lecture Notes Math.
McCrudden, M.: On the Supports of Absolutely Continuous Gauss Measures on Connected Lie Groups. Mh. Math. 98, 295–310 (1984).
Nobel, S.: Ph. D. Thesis University Dortmund. In preparation.
Sharpe, M.: Operator stable probability measures on vector groups. Trans. Amer. Math. Soc. 136, 51–65 (1969).
Urbanik, K.: Lévy's probability measures on Euclidean spaces. Studia Math. 44, 119–148 (1972).
Urbanik, K.: Lévy's probability measures on Banach spaces. Studia Math. 63, 238–308 (1978).
Weissmann, I.: On Convergence of Types and Processes in Euclidean Spaces. Z. Wahrscheinlichkeitstheorie verw. Geb. 37, 35–41 (1976).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Hazod, W., Nobel, S. (1989). Convergence-of-types theorem for simply connected nilpotent lie groups. In: Heyer, H. (eds) Probability Measures on Groups IX. Lecture Notes in Mathematics, vol 1379. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087848
Download citation
DOI: https://doi.org/10.1007/BFb0087848
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51401-5
Online ISBN: 978-3-540-46206-4
eBook Packages: Springer Book Archive
