@article{AIHPB_2005__41_4_781_0, author = {Gradinaru, Mihai and Nourdin, Ivan and Russo, Francesco and Vallois, Pierre}, title = {$m$-order integrals and generalized {It\^o{\textquoteright}s} formula ; the case of a fractional brownian motion with any {Hurst} index}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {781--806}, publisher = {Elsevier}, volume = {41}, number = {4}, year = {2005}, doi = {10.1016/j.anihpb.2004.06.002}, zbl = {1083.60045}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpb.2004.06.002/} }