Abstract
We obtain an integral representation of a completely monotone function on a Lie semigroup and prove the equivalence of “difference” and “differential” definitions of this function.
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References
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Additional information
Gomel University, Gomel. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 52, No. 6, pp. 841–845, June, 2000.
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Mirotin, A.R. Completely monotone functions on lie semigroups. Ukr Math J 52, 964–968 (2000). https://doi.org/10.1007/BF02591791
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DOI: https://doi.org/10.1007/BF02591791