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arXiv · 2606.08264

Eigenfunctions of positive integral Hankel operators

Alexander Pushnitski
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Abstract

We consider bounded positive semi-definite Hankel operators $H$, realised as integral operators on the positive semi-axis. For each value of $E$, not necessarily in the spectrum of $H$, we analyse solutions $f$ of the eigenvalue equation $Hf=Ef$, understood as an integral equation on the semi-axis. Our analysis reveals strong analogies with properties of solutions of the one-dimensional Schr\"odinger equation.

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Alexander Pushnitski. 2026-06-06. Eigenfunctions of positive integral Hankel operators. https://arxiv.org/abs/2606.08264

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