Abstract
We give a survey of recent results about properties of systems of reproducing kernels in Paley–Wiener spaces, de Branges spaces and Fock spaces. In particular, we consider completeness of biorthogonal systems and spectral synthesis property for such systems.
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The work is supported by Russian Science Foundation grant 17-11-01064.
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Belov, Y. (2021). Geometric Properties of Reproducing Kernels in Hilbert Spaces of Entire Functions. In: Abakumov, E., Baranov, A., Borichev, A., Fedorovskiy, K., Ortega-Cerdà, J. (eds) Extended Abstracts Fall 2019. Trends in Mathematics(), vol 12. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-74417-5_4
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