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arXiv · 1704.00518

Diffusive systems and weighted Hankel operators

Aolo Bashar Abusaksaka·Jonathan R. Partington
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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.

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Aolo Bashar Abusaksaka, Jonathan R. Partington. 2017-04-03. Diffusive systems and weighted Hankel operators. https://arxiv.org/abs/1704.00518

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