A new nonformal noncommutative calculus: associativity and finite part regularization
Géométrie différentielle, physique mathématique, mathématiques et société (I) : Volume en l'honneur de Jean Pierre Bourguignon, Astérisque, no. 321 (2008), pp. 267-297. 
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     author = {Omori, Hideki and Maeda, Yoshiaki and Miyazaki, Naoya and Yoshioka, Akira},
     title = {A new nonformal noncommutative calculus: associativity and finite part regularization},
     booktitle = {G\'eom\'etrie diff\'erentielle, physique math\'ematique, math\'ematiques et soci\'et\'e (I) : Volume en l'honneur de Jean Pierre Bourguignon},
     editor = {Hijazi Oussama},
     series = {Ast\'erisque},
     pages = {267--297},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {321},
     year = {2008},
     mrnumber = {2521650},
     zbl = {1177.53080},
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     url = {http://www.numdam.org/item/AST_2008__321__267_0/}
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Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira. A new nonformal noncommutative calculus: associativity and finite part regularization, dans Géométrie différentielle, physique mathématique, mathématiques et société (I) : Volume en l'honneur de Jean Pierre Bourguignon, Astérisque, no. 321 (2008), pp. 267-297. http://www.numdam.org/item/AST_2008__321__267_0/

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