Develops finite-dimensional approximations to push-forwards on locally analytic functionals with explicit error bounds from Hankel moment matrices and proves convergence for data-driven recovery of analytic vector fields from flow map data.
Optimum bounds for the distributions of Martingales in banach spaces.The Annals of Probability, 22(4):1679 – 1706, 1994
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Finite-dimensional approximations of push-forwards on locally analytic functionals
Develops finite-dimensional approximations to push-forwards on locally analytic functionals with explicit error bounds from Hankel moment matrices and proves convergence for data-driven recovery of analytic vector fields from flow map data.