Coorbit Theory and Complex Analysis (1319)
Dates: 4 -10 October 2014 at CIRM (Marseille Luminy, France)
  • Spaces of Analytic Functions
  • Poly-Analytic Functions
  • TF-Analysis
  • Sampling and Interplation
  • Frames
  • Toeplitz-operators

Coorbit  space theory provides a fairly general setting, which allows to derive important properties for families (!) of function spaces which are invariant (in a suitable  way) under some group action. In fact, typically a central  object within the family is a Hilbert  space, on which a group G acts in an  irreducible  and integrable  way. Within this context Banach spaces of analytic functions (Fock, Bergman, Bargmann, Blaschke,…) establish a bridge to questions in complex analysis (sets of sampling, sets of interpolation, frames, atomic characterizations, etc.). The group worked on this subject from different angles and also built strong ties with two local researchers in Marseille (Borichev and Youssfi). As a member of the ESF network on Harmonic and Complex Analysis and Applications (coordinated by Alexander Vasiliev, 2007-2012) H.G.Feichtinger was able to show his insight into recent developments in this field.

  • Feichtinger (University of Vienna & Aix-Marseille Université)
  • Bruno Torrésani (Aix-Marseille Université)