@techreport{oai:repository.dl.itc.u-tokyo.ac.jp:00042912,
 author = {Takahashi, Akihiko and Yamada, Toshihiro},
 month = {Nov},
 note = {application/pdf, revised in February 2012; forthcoming in SIAM Journal on Financial Mathematics., 本文フィルはリンク先を参照のこと},
 title = {An Asymptotic Expansion with Push-Down of Malliavin Weights},
 year = {2011}
}