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Article Dans Une Revue Bulletin of the London Mathematical Society Année : 2019

Division subspaces and integrable kernels

Résumé

In this note we prove that the reproducing kernel of a Hilbert space satisfying the division property has integrable form, is locally of trace class, and the Hilbert space itself is a Hilbert space of holomorphic functions.

Dates et versions

hal-02110678 , version 1 (25-04-2019)

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Alexander I. Bufetov, Roman V. Romanov. Division subspaces and integrable kernels. Bulletin of the London Mathematical Society, 2019, 51 (2), pp.267-277. ⟨10.1112/blms.12223⟩. ⟨hal-02110678⟩
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