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Characterization of vector-valued Laplace transforms and moment sequences

Published online by Cambridge University Press:  17 April 2009

Anthony K. Whitford
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Abstract

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Type
Abstracts of Australasian Ph.D. Theses
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 1 , February 1973 , pp. 157 - 158
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Hille, Einar and Phillips, Ralph S., Functional analysis and semigroups (Colloquium Publ. 31, revised ed. Amer. Math. Soc., Providence, Rhode Island, 1957).Google Scholar
[2]Rooney, P.G., “An inversion and representation theory for the Laplace integral of abstractly-valued functions”, Canad. J. Math. 6 (1954), 190–209.Google Scholar
[3]Whitford, A.K., “Laplace-Stieltjes transforms of vector-valued measures”, Mat. Časopis Sloven. Akad. Vied. 22 (1972), 156–163.Google Scholar
[4]Widder, David Vernon, The Laplace transform (Princeton University Press, Princeton, 1946).Google Scholar