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Operator semistable probability measures on a Hilbert space

Published online by Cambridge University Press:  17 April 2009

R.G. Laha  and
V.K. Rohatgi
R.G. Laha
Affiliation:
Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio 43403, USA.
V.K. Rohatgi
Affiliation:
Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio 43403, USA.
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Abstract

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A characterization of the class of operator semistable probability measures on a real separable Hilbert space is given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 22 , Issue 3 , December 1980 , pp. 397 - 406
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Jajte, R., “Semi-stable probability measures onKN”, Studia Math. 61 (1977), 29–39.CrossRefGoogle Scholar
[2]Kruglov, V.M., “On an extension of the class of stable distributions”, Theory Probab. Appl. 17 (1972), 685–694.CrossRefGoogle Scholar
[3]Laha, R.G. and Rohatgi, V.K., Probability theory (John Wiley & Sons, New-York, Brisbane, Toronto, 1979).Google Scholar
[4]Sharpe, Michael, “Operator-stable probability distributions on vector groups”, Trans. Amer. Math. Soc. 136 (1969), 51–65.CrossRefGoogle Scholar