Geometric conditions for multiple sampling and interpolation in the Fock\n space

2015/08/17 by Alexander Borichev, Andreas Hartmann, Borichev, Alexander +5
Mathematics · #Advanced Algebra and Geometry #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1508.03932

openalex publication_date 2015/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study multiple sampling, interpolation and uniqueness for the classical\nFock spaces in the case of unbounded multiplicities. We show that there are no\nsequences which are simultaneously sampling and interpolating when the\nmultiplicities tend to infinity.\n

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