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arXiv · 1508.03932

Geometric conditions for multiple sampling and interpolation in the Fock space

Alexander Borichev·Andreas Hartmann·Karim Kellay·Xavier Massaneda
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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.

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Alexander Borichev, Andreas Hartmann, Karim Kellay, Xavier Massaneda. 2015-08-17. Geometric conditions for multiple sampling and interpolation in the Fock space. https://arxiv.org/abs/1508.03932

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