Studies on Noncausal Problems in Mathematical Sciences

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In various fields of mathematical sciences, including theory of finance, there arise many problems of noncausal nature that can be treated not in theusual theory of Ito Calculus but in the framework of noncausal calculus originated by the author in 1893. In this research program we have aimed to investigate the theoretical back ground of the theory as well as some numerical problems concerned with the finance. In both directions, we have obtained many fundamental theoretical results and numerical schemes, those were published in journals and presented at many international conferences.