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Geometric Properties of Reproducing Kernels in Hilbert Spaces of Entire Functions

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Extended Abstracts Fall 2019

Part of the book series: Trends in Mathematics ((RPCRMB,volume 12))

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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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Acknowledgements

The work is supported by Russian Science Foundation grant 17-11-01064.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, St. Petersburg State University, St. Petersburg, Russia

    Yurii Belov

Authors
  1. Yurii Belov
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Correspondence to Yurii Belov .

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Editors and Affiliations

  1. Laboratoire d'Analyse et de Mathématiques Appliquées, Université Gustave Eiffel, Marne-la-Vallée, France

    Evgeny Abakumov

  2. Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia

    Anton Baranov

  3. Institut de Mathématiques de Marseille, Aix Marseille Université, Marseille, France

    Alexander Borichev

  4. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

    Konstantin Fedorovskiy

  5. Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Barcelona, Spain

    Joaquim Ortega-Cerdà

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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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