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Division subspaces and integrable kernels (1707.03463v2)
Published 11 Jul 2017 in math.FA, math-ph, math.MP, and math.PR
Abstract: 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.
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