Invariant Subspaces of the Dirichlet Space

Omar El-Fallah (1) , Karim Kellay (2) , Thomas Ransford (3)

1 Département de Mathématiques
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités
3 Department of Mathematical Sciences

We present an overview of the problem of describing the invariant subspaces of the Dirichlet space. We also discuss some recent progress in the problem of characterizing the cyclic functions.

Domaines: Variables complexes [math.CV]; Analyse classique [math.CA]; Analyse fonctionnelle [math.FA]

Omar El-Fallah, Karim Kellay, Thomas Ransford. Invariant Subspaces of the Dirichlet Space. CRM Proceedings and Lecture Notes AMS, 2010, 51, pp.133-141. ⟨hal-00439917⟩