English

Characterizing Model Spaces Among the Finite Dimensional RKHS with Pick Kernels

Functional Analysis 2021-10-18 v1

Abstract

We give several characterizations of those finite dimensional HSRK with complete Pick kernels which are model spaces. One characterization involves the size of the solution to a multiplier problem. Another involves having a conjugation operator which is compatible with the RKHS structure.

Keywords

Cite

@article{arxiv.2110.07680,
  title  = {Characterizing Model Spaces Among the Finite Dimensional RKHS with Pick Kernels},
  author = {Richard Rochberg},
  journal= {arXiv preprint arXiv:2110.07680},
  year   = {2021}
}
R2 v1 2026-06-24T06:54:04.846Z