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2017-01-02

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cc-by-nc-nd (c) Elsevier B.V., 2017
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/192550

Geometric conditions for multiple sampling and interpolation in the Fock space

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https://doi.org/10.1016/j.aim.2016.09.019

Abstract

We study multiple sampling, interpolation and uniqueness for the classical Fock spaces in the case of unbounded multiplicities. We show that there are no sequences which are simultaneously sampling and interpolating when the multiplicities tend to infinity. This answers partially a question posed by Brekke and Seip.

Subject

Funcions de variables complexes, Problemes de moments (Matemàtica), Interpolació (Matemàtica), Espais de Hilbert, Operadors lineals

Subject (English)

Functions of complex variables, Moment problems (Mathematics), Interpolation, Hilbert space, Linear operators

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BORICHEV, Alexander A., et al. Geometric conditions for multiple sampling and interpolation in the Fock space. Advances in Mathematics. 2017. Vol. 304, num. 1262-1295. ISSN 0001-8708. [consulted: 13 of June of 2026]. Available at: https://hdl.handle.net/2445/192550

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