Location: room 611 of the Wiskunde building (campus De Uithof) Budapestlaan 6, Utrecht.

Date and time: Thursday, June 3, 2010 15:30-16:30. The lecture is preceded by coffee, tea, and cookies from 15.00 to 15.30 hour in the same room.

Nehari interpolation: history and new developments


Sanne ter Horst

(UU)

Abstract: What is now known as Nehari interpolation appeared originally, in 1957, as a problem on bilinear forms, and has reappeared in various incarnations since. Though a full description of the solutions was obtained in the 1960s as part of the Adamyan-Arov-Krein theory, research intensified in the 1980s, when connections were made with linear system and control theory, with a focus on the computability of solutions. In this talk I will give some background on the history of Nehari interpolation and the computational issues that arise in determining the solutions. I will also discuss a more recent development where variations on the problem are considered with the aim of avoiding these computational issues.