0000000001063080

AUTHOR

Franco Fagnola

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Quantum extensions of semigroups generated by Bessel processes

1996

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, +∞).

Discrete mathematicsPure mathematicsBessel processMathematics::Operator AlgebrasSemigroupGeneral MathematicsNoncommutative geometryQuantum dynamical semigroupsymbols.namesakeQuantum probabilityVon Neumann algebraBounded functionsymbolsBessel functionMathematicsMathematical Notes
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