Geodesic
Axiomatic theory of divergent series and cohomological equations
Yu. I. Lyubich1
1 Department of Mathematics Technion 32000, Haifa, Israel
Fundamenta Mathematicae, Tome 198 (2008) no. 3, pp. 263-282

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A 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.
DOI : 10.4064/fm198-3-5
Keywords: general theory summation divergent series based hardy kolmogorov axioms developed class functional series investigated means ergodic theory results formulated terms solvability cohomological equations solutions which nonmeasurable particular realizes construction nonmeasurable function first conjectured kolmogorov

Yu. I. Lyubich 1

1 Department of Mathematics Technion 32000, Haifa, Israel 
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Yu. I. Lyubich. Axiomatic theory of divergent series
 and cohomological equations. Fundamenta Mathematicae, Tome 198 (2008) no. 3, pp. 263-282. doi: 10.4064/fm198-3-5

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