Complementability of exponential systems

Yurii Belov

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arXiv · 1409.3968

Complementability of exponential systems

Yurii Belov

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Abstract

We prove that any incomplete system of complex exponentials $\{e^{i\lambda_n t}\}$ in $L^2(-\pi,\pi)$ is a subset of some complete and minimal system of exponentials. In addition, we prove analogous statement for systems of reproducing kernels in de Branges spaces.

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Yurii Belov. 2014-09-13. Complementability of exponential systems. https://arxiv.org/abs/1409.3968

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