@article{oai:ynu.repo.nii.ac.jp:00006819, author = {Yoshihara, Ken-ichi}, issue = {1}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, We show that the random process $X_{n}=¥{X_{n}(t) : 0¥leqq t¥leqq 1¥}$ defined by $X_{n}(t)=¥Sigma Q(i_{1}/N, ¥cdots , i_{m}/N)¥xi_{n.l_{1}}¥cdots¥xi_{n.i_{m}}$ converges weakly in $D[0,1]$ to some process defined by multiple Wiener integrals when $¥{¥xi_{n.¥ell}¥}$ is a martingale difference array or a strictly stationary sequence of random variables satisfying some mixing condition.}, pages = {57--75}, title = {WEAK CONVERGENCE TO SOME PROCESSES DEFINED BY MULTIPLE WIENER INTEGRALS}, volume = {38}, year = {1990} }