Keywords
- Compact Group
- Semidirect Product
- Compact Subgroup
- Invariance Group
- Finite Dimensional Vector Space
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.
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References
P. Baldi: Lois stables sur les déplacements de IRd. In: Probability measures on groups. Proceedings Oberwolfach (1978). Lecture Notes in Math. 706, 1–9. Springer (1979).
T. Drisch, L. Gallardo: Stable laws on the Heisenberg group. In: Probability measures on groups. Proceedings Oberwolfach (1983). Lecture Notes Math. 1064, 56–79 (1984).
W. Hazod: Stable probabilities on locally compact groups. In: Probability measures on groups. Proceedings Oberwolfach (1981). Lecture Notes Math. 928, 183–211 (1982).
W. Hazod: Remarks on [semi-] stable probabilities. In: Probability measures on groups. Proceedings Oberwolfach (1983). Lecture Notes Math. 1064, 182–203 (1984).
W. Hazod: Stable and semistable probabilities on groups and vector spaces. In: Probability theory on vector spaces III. Proceedings Lublin (1983). Lecture Notes Math. 1080, 69–89 (1984).
W. Hazod: Semigroupes de convolution [demi-] stable et autodécomposables sur les groupes localement compacts. In: Probabilitiés sur les structures géometriques. Actes des Journees Toulouse (1984). Publ. du Lab. Stat. et Prob. Université de Toulouse, 57–85 (1985).
W. Hazod: Stable probability measures on groups and on vector spaces. A survye. In: Probability measures on Groups VIII. Proceedings, Oberwolfach (1985). Lecture Notes Math. 1210 304–352 (1986).
W. Hazod, E. Siebert: 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).
W. Hazod, E. Siebert: Automorphisms on a Lie group contracting modulo a compact subgroup and applications to semistable convolution semigroups. To appear in: J. of Theoretical Probability.
K.H. Hofmann, P. Mostert: Splitting in topological groups. Mem. Amer. Math. Soc. 43 (1963).
J.P. Holmes, W.N. Hudson, J.D. Mason: Operator-stable laws: multiple exponents and elliptical symmetry. Ann. Probab. 10, 602–612 (1982).
W.N. Hudson: Operator-stable distributions and stable marginals. J. Mult. Analysis 10, 26–37 (1980).
W.N. Hudson, J.D. Mason: Exponents of operator stable laws. In: Probability in Banach spaces III. Proceedings Medford (1980). Lecture Notes in Math. 860, 291–298 (1981).
W.N. Hudson, J.D. Mason: Operator stable laws. J. Mult. Analysis 11, 434–447 (1981).
W.N. Hudson, Z.J. Jurek, J.A. Veeh: The symmetry group and exponents of operator stable probability measures. Ann. of Probability 14, 1014–1023 (1986).
R. Jajte: Semistable probability measures on IRN. Studia Math. 61, 29–39 (1977).
Z.J. Jurek: On stability of probability measures in Euclidean spaces. In: Probability theory on vector spaces II. Proceedings Błażejewko (1979). Lecture Notes Math. 828, 129–145 (1980).
Z.J. Jurek: Convergence of types, self-decomposibility and stability of measures on linear spaces. In: Probability in Banach spaces III. Proceedings Medford (1980). Lecture Notes in Math. 860, 257–284 (1981).
W. Linde, G. Siegel: On the convergence of types for Radon probability measures in Banach spaces. To appear.
A. Łuczak: Operator semi-stable probability measures on IRN. Coll. Math. 45, 287–299 (1981).
A. Łuczak: Elliptical symmetry and characterization of operator-stable and operator semi-stable measures. Ann. Probab. 12, 1217–1223 (1984).
S. Nobel: Ph.D. Thesis. Univ. Dortmund. In preparation.
M. Sharpe: Operator stable probability measures on vector groups. Trans. Amer. Math. Soc. 136, 51–65 (1969).
K. Sato: Strictly operator-stable distributions. Nagoya Univ. Preprint 1985.
E. Siebert: Semistable convolution semigroups on measurable and topological groups. Ann. Inst. H. Poincaré 20, 147–164 (1984).
E. Siebert: Supplements to operator-stable and operator-semistable laws on Euclidean spaces. J. Mult. Analysis 19, 329–341 (1986).
K. Urbanik: Lévy's probability measures on Euclidean space Studia Math. 44, 119–148 (1972).
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© 1989 Springer-Verlag
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Hazod, W. (1989). On the decomposability group of a convolution semigroup. In: Cambanis, S., Weron, A. (eds) Probability Theory on Vector Spaces IV. Lecture Notes in Mathematics, vol 1391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083384
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DOI: https://doi.org/10.1007/BFb0083384
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