8th International Conference on
Computational Harmonic Analysis

September 12-16, 2022

Ingolstadt, Germany

"Complementable and hierarchical Riesz bases of exponentials"

Caragea, Andrei

We give partial answers to two questions concerning Riesz exponential bases. Firstly, we show that the standard Fourier basis is complementable with respect to any finite union of intervals. Secondly, we show that any finite union of intervals with endpoints independent over $\mathbb{Q}$ admits a so-called hierarchical Riesz exponential basis.

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