Axiomatic theory of divergent series and cohomological equations

Simple item page
dc.creatorLyubich, Yuri I.
dc.date2007-05-11
dc.date2007-11-15
dc.date.accessioned2026-07-07T08:42:46Z
dc.date.available2026-07-07T08:42:46Z
dc.descriptionA general theory of summation of divergent series based on the Hardy-Kolmogorov axioms is developed. A class of functional series is investigated by means of ergodic theory. The results are formulated in terms of solvability of some cohomological equations, all solutions to which are nonmeasurable. In particular, this realizes a construction of a nonmeasurable function as first conjectured by Kolmogorov.
dc.identifierhttps://arxiv.org/abs/0705.1578
dc.identifierhttp://arxiv.org/abs/0705.1578
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142078
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.subject34A25, 42A16
dc.titleAxiomatic theory of divergent series and cohomological equations
dc.typetext

Files

Collections

arXiv