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arXiv · 2501.11598

On the lower Riesz basis bound of exponential systems over an interval

Thibaud Alemany·Shahaf Nitzan
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Abstract

We revisit Pavlov's characterization for Riesz bases of exponentials and study the corresponding lower Riesz basis bounds. In particular, this approach allows us to improve on known estimates for the bounds in Avdonin's theorem regarding average perturbations, and Levin's theorem regarding zeroes of sine-type functions.

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Thibaud Alemany, Shahaf Nitzan. 2025-01-20. On the lower Riesz basis bound of exponential systems over an interval. https://arxiv.org/abs/2501.11598

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