Conference on Hilbert Spaces of Analytic Functions December 8

Hilbert spaces of holomorphic functions are currently a very active field of complex analysis, with several applications in mathematics and engineering. The Hardy space H² is the most senior member of this family. Its relatives, such as the Bergman spaces, the Dirichlet spaces, the de Branges spaces and various Hilbert spaces of entire functions, have been studied in detail. However there are still many open problems, old and new, that have attracted numerous mathematicians. The themes to be discussed by leading experts attending the conference will include the characterization of zero sets and uniqueness sets, invariant subspaces, boundary-value problems, integral representations and interpolation sequences.