Axiomatic theory of divergent series and cohomological equations
نویسنده
چکیده
A general theory of summation of divergent series based on the HardyKolmogorov 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.
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