Oscillating sequences of higher orders and topological systems of quasi-discrete spectrum

Ai Hua Fan

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arXiv · 1802.05204

Oscillating sequences of higher orders and topological systems of quasi-discrete spectrum

Ai Hua Fan

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Abstract

Fully oscillating sequences are orthogonal to all topological dynamical systems of quasi-discrete spectrum in the sense of Hahn-Parry. This orthogonality concerns with not only simple but also multiple ergodic means. It is stronger than that required by Sarnak's conjecture.

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Ai Hua Fan. 2018-02-14. Oscillating sequences of higher orders and topological systems of quasi-discrete spectrum. https://arxiv.org/abs/1802.05204

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