×

On the supports and absolute continuity of infinitely divisible probability measures. (English) Zbl 0322.60019


MSC:

60E05 Probability distributions: general theory
43A05 Measures on groups and semigroups, etc.
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Ash, R.B.,Real Analysis and Probability, Academic Press, New York and London 1972. · Zbl 0249.28001
[2] Grenander, U.,Probabilities on Algebric Structures, John Wiley, New York 1963. · Zbl 0131.34804
[3] Hewitt, E. and K.A. Ross,Abstract Harmonic Analysis I, Springer-Verlag, Berlin 1963. · Zbl 0115.10603
[4] Heyer, H.,Infinitely divisible probability measures on compact groups, Lecture Note in Mathematics 247, Springer-Verlag, Heidelberg 1972, 55–247 · Zbl 0243.60010
[5] Hofmann, K.H. and P.S. Mostert,Elements of Compact Semigroup, Charles E. Merrill Books, Columbus, Ohio 1966 · Zbl 0161.01901
[6] Hudson, W.N. and J.D. Mason,More on equivalence of infinitely divisible distributions, Ann. Prob. 3 (1975), 563–568. · Zbl 0309.60016 · doi:10.1214/aop/1176996363
[7] Parthasarathy, K.R.,Probability Measures on Metric Spaces, Academic Press, New York and London 1967. · Zbl 0153.19101
[8] Parthasarathy, K.R., R.R. Rao and S.R.S. Varadhan,Probability distributions on locally compact abelian groups, Illinois J. Math. 7 (1963), 337–369. · Zbl 0129.10902
[9] Siebert, E.,Einige Bermerkungen zu den Gauss-Verteilung auf lokalkompakten abelschen Gruppen, Manuscripta Math. 14 (1974), 41–55. · Zbl 0293.60013 · doi:10.1007/BF01637621
[10] Urbanik, K.,Gauss measures on locally compact abelian topological groups, Studia Math. 19 (1960), 77–88. · Zbl 0099.01704
[11] Yuan, J.,Embedding of an infinitely divisible probability measure on a locally compact semigroup, Dissertation, Tulane University, New Orleans 1974.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.