Littlewood polynomials and applications of them in the spectral theory of dynamical systems
Journal Article
·
· Sbornik. Mathematics
- M. V. Lomonosov Moscow State University, Moscow (Russian Federation)
In this paper we establish the existence of character sums on the real line R that are {epsilon}-flat on any given compact subset K Subset-Of R Reverse-Solidus-Operator {l_brace}0{r_brace} with respect to the metric in the space L{sup 1}(K). A consequence of this analytic result is an affirmative answer to Banach's conjecture on the existence of a dynamical system with a simple Lebesgue spectrum in the class of actions of the group R. Bibliography: 25 titles.
- OSTI ID:
- 22156597
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 6 Vol. 204; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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