Kinematics of stochastic motion in hilbert space

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Abstract

We formulate and prove results for development of Nelson's kinematic theory of stochastic motion in Hilbert space, extend stochastic integral of Metivier and Pellaumail with respect to cylindrical martingales and construct a diffusion from kinematical assumptions using the extended integration.

Original languageAmerican English
JournalStochastic Analysis and Applications
Volume15
DOIs
StatePublished - Jan 1 1997

Disciplines

  • Mathematics

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