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Remarks on martingale representation theorem for set-valued martingales
Jinping Zhang, Kouji Yano · 2020-12-13 · via math.PR updates on arXiv.org

Martingale representation theorem for set-valued martingales was proposed by M. Kisielewicz [J. Math. Anal. Appl. 2014]. We shall prove that the result holds only for very special case: the set-valued martingale degenerates to the point-valued one. A revised representation theorem for a special kind of non-degenerate set-valued martingales is presented.

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