a1 Department of Mathematics, Kyonggi University, Kyonggido Suwon 443-760, Korea (email: firstname.lastname@example.org)
Let Cr[0,t] be the function space of the vector-valued continuous paths x:[0,t]→r and define Xt:Cr[0,t]→(n+1)r by Xt(x)=(x(0),x(t1),…,x(tn)), where 0<t1<<tn=t. In this paper, using a simple formula for the conditional expectations of the functions on Cr[0,t] given Xt, we evaluate the conditional analytic Feynman integral Eanfq[FtXt] of Ft given by
(Received March 03 2008)
2000 Mathematics subject classification
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This work was supported by Kyonggi University Research Grant.