Axiomatic theory of divergent series and cohomological equations

• Autorzy: Yu. I. Lyubich
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 42A24: Summability and absolute summability of Fourier and trigonometric series
• 37A30: Ergodic theorems, spectral theory, Markov operators
• 40C99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2008
• Tom: 198
• Numer: 3
• Strony: 263-282

Daty

wydano

2008

Twórcy

autor

Yu. I. Lyubich

• Department of Mathematics, Technion, 32000, Haifa, Israel

Identyfikatory

DOI

10.4064/fm198-3-5