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Information × Registration Number 0204U000756, 0103U008169 , R & D reports Title New trends in non-Archimedean analysis popup.stage_title Head Kochubei Anatoly Naumovich, Registration Date 20-02-2004 Organization Institute of mathematics NAS of Ukraine popup.description2 On the basis of analytic theory of differential equations over a field of positive characteristic, new analogs of polylogarithms and zeta function are introduced and investigated. Measures corresponding to polynomial interactions are constructed on the space of Bruhat-Schwartz distributions. Path properties of a multiplicative analog of the stable process over an infinite extension of a local field are sudied. Existence and uniqueness theorems for solutions of the Cauchy problem for operator-differential equations over non-Archimedean fields are obtained. Product Description popup.authors popup.nrat_date 2020-04-02 Close