Diffusive systems and weighted Hankel operators
Functional Analysis
2017-04-04 v1 Optimization and Control
Abstract
We consider diffusive systems, regarded as input/output systems with a kernel given as the Fourier--Borel transform of a measure in the left half-plane. Associated with these are a family of weighted Hankel integral operators, and we provide conditions for them to be bounded, Hilbert--Schmidt or nuclear, thereby generalizing results of Widom, Howland and others.
Cite
@article{arxiv.1704.00518,
title = {Diffusive systems and weighted Hankel operators},
author = {Aolo Bashar Abusaksaka and Jonathan R. Partington},
journal= {arXiv preprint arXiv:1704.00518},
year = {2017}
}
Comments
11 pages. Appears in Operators and Matrices. This version corrects a minor error in Example 2.8