Quantum Stochastic Calculus on Interacting Fock Spaces: Semimartingale Estimates and Stochastic Integral

  • VITONOFRIO CRISMALE
  • Published 2007

Abstract

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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Cite this paper

@inproceedings{CRISMALE2007QuantumSC, title={Quantum Stochastic Calculus on Interacting Fock Spaces: Semimartingale Estimates and Stochastic Integral}, author={VITONOFRIO CRISMALE}, year={2007} }