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Geometric conditions for multiple sampling and interpolation in the Fock space

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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.

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Articles publicats en revistes (Matemàtiques i Informàtica)

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Geometric conditions for multiple sampling and interpolation in the Fock space