Speaker
Håkan Hedenmalm
(Royal Institute of Technology and Saint-Petersburg state university)
Description
Recent advances on planar orthogonal polynomials with respect to exponentially varying weights become much easier to work with if we introduce the concept of ``soft'' Riemann--Hilbert problems. These are actually $\overline{\partial}$-problems but the underlying thinking in terms of jump problems helps a lot. The method applies also in the hard edge case where our work with A. Wennman gives a far-reaching generalization of Carleman’s theorem from 1921.
Primary author
Håkan Hedenmalm
(Royal Institute of Technology and Saint-Petersburg state university)