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Kernel of a map of a shift along the orbits of continuous flows

Let F:M × R → M be a continuous flow on a topological manifold M. For every subset V⊂M, we denote by P(V) the set of all continuous functions ξ:V→R such that F(x,ξ(x))=x for all x∈V. These functions vanish at nonperiodic points of the flow, while their values at periodic points are integer multiples...

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Bibliographic Details
Main Author: Maksymenko, S.I.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Series:Український математичний журнал
Subjects:
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/166151
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