Wednesday, April 9, 2014
Mathematical Physics Seminar
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
This is joint work with Patrick Gerard (Orsay).