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DECOMPOSITION OF A CLASS OF FUNCTIONALS AND THE PREDICTABLE REPRESENTATION THEOREM ON BANACH SPACES
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作者 凡汝宗 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1992年第2期153-167,共15页
Let B be a separable real Banach space and X(t) be a symmetric conservative diffusionprocess taking values in B. In this paper, we decompose the functional u(X(t),t) into a sumof a square integrable martingale and a r... Let B be a separable real Banach space and X(t) be a symmetric conservative diffusionprocess taking values in B. In this paper, we decompose the functional u(X(t),t) into a sumof a square integrable martingale and a regular 0-quadratic variation process. On this basis, weestablish the predictable representation theorem of X(t). 展开更多
关键词 DECOMPOSITION OF A class OF FUNCTIONALS AND THE PREDICTABLE representation THEOREM ON BANACH SPACES
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