# Hilbert spaces of entire functions and their applications

May 22-26, 2017, BÄ™dlewo

#### Organisers: Evgeny Abakumov (Paris), Anton Baranov (St.Petersburg),

#### Alexander Borichev (Marseille), Stéphane Charpentier (Marseille)

The theory of Hilbert spaces of entire functions was created in 1950-60s by L. de Branges in connection with inverse spectral problems. It became the basis of his famous solution of the inverse spectral problem for second order canonical (or Hamiltonian) systems. However, for the next 2-3 decades de Branges spaces remained a rather isolated and not very active topic. A revival of the interest to the de Branges theory started in the end of 1990s - beginning of 2000s, when it became clear that de Branges spaces are a highly nontrivial object from the point of view of the function theory and the methods of de Branges theory have deep and unexpected applications to some classical problems of analysis.The aim of the workshop is to highlight several recent developments from the de Branges spaces theory and the Beurling-Malliavin theory and to bring together researchers, both from the canonical systems theory/operator theory and from the function theory, whose work is related to de Branges spaces