Some analytical semigroups occurring in probability theory

Journal of Theoretical Probability

Volumn 9, Issue 3, 1996, Pages 745-763

  Hofmann, Karl H ^a   Jurek, Zbigniew J ^b  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF WROC AW   (Poland)

Author keywords

Infinitely divisible probability measures; Lie semigroup theory; Operator limit distributions

Indexed keywords

EID: 21344464385     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02214085     Document Type: Article

References (8)

1. Hilgert, J., and Neeb, K.-H. (1993). Lie Semigroups and their Applications, Springer, Lecture Notes in Math. 1553, pp. xii-315.
2. Hilgert, J., Hofmann, K. H., and Lawson, J. D. (1989). Lie Groups, Convex Cones, and Semigroups, Oxford University Press, pp. xxxviii-645.
3. Hofmann, K. H., Lawson, J. D., and Vinberg, E. B. (1995). Semigroups in Algebra, Geometry, and Analysis, de Gruyter Expositions in Mathematics, Berlin, pp. vii-368.
4. Hofmann, K. H., and Mostert, P. S. (1969). Elements of Compact Semigroups, Charles E. Merrill, Columbus, Ohio.
5. Jurek, Z. J. (1988). Remarks concerning the theory of operator-limit distributions, Bull. Pol. Ac. Sci. Math. 36, 307-313.
6. Jurek, Z. J. Lie Semigroups and Probability: A Survey, in Ref. 3, pp. 355-365.
7. Jurek, Z. J., and Mason, J. D. (1993). Operator-limit distributions in probability theory, J. Wiley, New York.
8. Siebert, E. (1986). Supplements to operator-stable and operator-semistable laws on Euclidean spaces, J. Multivar. Anal. 19, 329-341.