# Anton Baranov: Nearly invariant subspaces in spaces of entire functions

**Time: **
Wed 2020-02-05 13.15 - 14.14

**Location: **
KTH, F11

**Lecturer: **
Anton Baranov, Saint Petersburg State University

### Abstract

A subspace \(H_0\) of a Hilbert space \(H\) consisting of functions analytic in some domain is said to be nearly invariant if the function \(f(z)/(z-w)\) belongs to \(H_0\) whenever \(f \in H_0\) and \(f(w)=0\). In the talk we discuss the structure problem for nearly invariant subspaces of the Fock-type spaces of entire functions. The talk is based on a joint work with Alexandru Aleman (Lund University) and Yurii Belov (St. Petersburg State University).