Division subspaces and integrable kernels
classification
🧮 math.FA
math-phmath.MPmath.PR
keywords
hilbertspacedivisionintegrableclassformfunctionsholomorphic
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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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