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

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2025Embargo end date: 01 Jan 2025Funded by:NSF | CAREER: Bases in Hilbert ...

Authors: Alemany, Thibaud; Nitzan, Shahaf;

doi: 10.48550/arxiv.2501.11598

arXiv: 2501.11598

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

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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.

34 pages

Related Organizations

GEORGIA TECH RESEARCH CORPORATION
United States

Keywords

Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics

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NSF| CAREER: Bases in Hilbert Function Spaces and Some of their Applications