{"title":"Malliavin微积分的一个反对称版本","authors":"J. Akahori, T. Matsusita, Yasufumi Nitta","doi":"10.31390/josa.2.3.14","DOIUrl":null,"url":null,"abstract":". In the present paper we will introduce an anti-symmetric version of Malliavin calculus which consists of operators with anti-commuting relations, which actually form an in(cid:12)nite-dimensional Clifford algebra.","PeriodicalId":263604,"journal":{"name":"Journal of Stochastic Analysis","volume":"74 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Anti-Symmetric Version of Malliavin Calculus\",\"authors\":\"J. Akahori, T. Matsusita, Yasufumi Nitta\",\"doi\":\"10.31390/josa.2.3.14\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In the present paper we will introduce an anti-symmetric version of Malliavin calculus which consists of operators with anti-commuting relations, which actually form an in(cid:12)nite-dimensional Clifford algebra.\",\"PeriodicalId\":263604,\"journal\":{\"name\":\"Journal of Stochastic Analysis\",\"volume\":\"74 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Stochastic Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31390/josa.2.3.14\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Stochastic Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31390/josa.2.3.14","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
. In the present paper we will introduce an anti-symmetric version of Malliavin calculus which consists of operators with anti-commuting relations, which actually form an in(cid:12)nite-dimensional Clifford algebra.