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An inverse problem for Hankel operators and turbulent solutions of the cubic Szegő equation on the line

  • Patrick Gérard

    Université Paris-Saclay, Orsay, France

  • Alexander Pushnitski

    King’s College London, London, UK
An inverse problem for Hankel operators and turbulent solutions of the cubic Szegő equation on the line cover
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Abstract

We construct inverse spectral theory for finite rank Hankel operators acting on the Hardy space of the upper half-plane. A particular feature of our theory is that we completely characterise the set of spectral data. As an application of this theory, we prove the genericity of turbulent solutions of the cubic Szegő equation on the real line.

Cite this article

Patrick Gérard, Alexander Pushnitski, An inverse problem for Hankel operators and turbulent solutions of the cubic Szegő equation on the line. J. Eur. Math. Soc. (2024), published online first

DOI 10.4171/JEMS/1457