Complementability of exponential systems
classification
🧮 math.CV
keywords
exponentialsprovesystemsystemsadditionanalogousbrangescomplementability
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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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