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Quantum extensions of semigroups generated by Bessel processes
R. MonteFranco Fagnolasubject
Discrete mathematicsPure mathematicsBessel processMathematics::Operator AlgebrasSemigroupGeneral MathematicsNoncommutative geometryQuantum dynamical semigroupsymbols.namesakeQuantum probabilityVon Neumann algebraBounded functionsymbolsBessel functionMathematicsdescription
We construct a quantum extension of the Markov semigroup of the classical Bessel process of orderv≥1 to the noncommutative von Neumann algebra s(L2(0, +∞)) of bounded operators onL2(0, +∞).
year | journal | country | edition | language |
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1996-10-01 | Mathematical Notes |