Title: Spaces of Entire Functions in Spectral Problems


Abstract: 

The Krein - de Branges theory of Hilbert spaces of entire functions was 
introduced around mid 20th century to treat spectral problems related to 
differential operators and canonical systems.
Since then, the theory has become a fundamental part of spectral and 
complex analysis. It was applied in numerous important problems, e.g. 
Marchenko's proof of the uniqueness of the inverse spectral problem for 
Schroedinger operators. The course covers the basics of the theory, its 
connections with other branches of complex and harmonic analysis and 
recent applications.