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

2025/01/20 by Thibaud Alemany, Alemany, Thibaud, Shahaf Nitzan +1
Engineering · Computer Science · #Control Systems and Identification #Mathematical Control Systems and Analysis #Stability and Control of Uncertain Systems

paper · pdf · doi:10.48550/arxiv.2501.11598

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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