Some Notes on Flat Polynomials

e. H. el Abdalaoui; M. G. Nadkarni

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arXiv · 1402.5457

Some Notes on Flat Polynomials

e. H. el Abdalaoui·M. G. Nadkarni

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Abstract

Connection of flat polynomials with some spectral questions in ergodic theory is discussed. A necessary condition for a sequence of polynomials of the type $\frac{1}{\sqrt{N}} \big(1 +\sum_{j=1}^{N-1} z^{n_j}\big)$ to be flat in almost everywhere sense is given, which contrasts with a similar necessary condition for a sequence of polynomials to be ultraflat.

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e. H. el Abdalaoui, M. G. Nadkarni. 2014-02-22. Some Notes on Flat Polynomials. https://arxiv.org/abs/1402.5457

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