Mathematical Physics Seminar

Series: Mathematical Physics Seminar Series

An inverse spectral problem for Hankel operators

Alexander Pushnitski, Professor of Mathematics, Mathematics, King's College London,

I will discuss an inverse spectral problem for a certain class
of Hankel operators. The problem appeared in the recent work by P.Gerard and
S.Grellier as a step towards description of evolution in a model integrable non-dispersive
equation. Several features of this inverse problem make it strikingly (and
somewhat mysteriously) similar to an inverse problem for Sturm-Liouville operators.
I will describe the available results for Hankel operators, emphasizing this
similarity.
This is joint work with Patrick Gerard (Orsay).

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For more information, please contact Chris Marx by email at [email protected].