English

Liouville Operators over the Hardy Space

Functional Analysis 2021-03-18 v1

Abstract

The role of Liouville operators in the study of dynamical systems through the use of occupation measures have been an active area of research in control theory over the past decade. This manuscript investigates Liouville operators over the Hardy space, which encode complex ordinary differential equations in an operator over a reproducing kernel Hilbert space.

Keywords

Cite

@article{arxiv.2103.09261,
  title  = {Liouville Operators over the Hardy Space},
  author = {Benjamin P. Russo and Joel A. Rosenfeld},
  journal= {arXiv preprint arXiv:2103.09261},
  year   = {2021}
}
R2 v1 2026-06-24T00:14:57.856Z