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arXiv · 2211.03821

Examples of exponential bases on Union of intervals

Oleg Asipchuk·Vladyslav Drezels
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Abstract

In this paper, we construct explicit exponential bases on finite or infinite unions of segments of total length one with some conditions on gaps between them. We also construct exponential bases on certain unions of cubes in $\R^d$ and we prove a stability result for unions of segments that generalize Kadec's $\frac{1}{4}-$theorem.

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Oleg Asipchuk, Vladyslav Drezels. 2022-11-07. Examples of exponential bases on Union of intervals. https://doi.org/10.4153/s0008439523000371

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