Division subspaces and integrable kernels
Functional Analysis
2018-12-10 v2 Mathematical Physics
math.MP
Probability
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.
Cite
@article{arxiv.1707.03463,
title = {Division subspaces and integrable kernels},
author = {Alexander I. Bufetov and Roman V. Romanov},
journal= {arXiv preprint arXiv:1707.03463},
year = {2018}
}
Comments
11 pages