[PDF][PDF] Quantum stochastic calculus on interacting Fock spaces: semimartingale estimates and stochastic integral

V Crismale - Communications on Stochastic Analysis, 2007 - repository.lsu.edu
A quantum stochastic integration theory on interacting Fock spaces (IFS) is developed. We
present the semi-martingale inequalities either in standard general IFS or in 1-mode type
IFS, which allow us to introduce the definitions of integrable processes and construct
stochastic integrals satisfying some useful properties which will be presented in [13].
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