RAS, St.Petersburg Department of Steklov Mathematical Institute D.Sc.
Date(s) : 02/07/2018 iCal
10 h 00 min - 11 h 00 min
Given a holomorphic function F from the unit ball of ℂd into the unit disk D, we study the corresponding family σα = σα[F ], α ∂D, of pluriharmonic Clark measures on the complex sphere. If F is an inner function, then we introduce and investigate related unitary operators Uα mapping analogs of model spaces onto L2(σα). In particular, we explicitly describe the preimages of pluriharmonic measures under Uα. (The talk is based on a joint work with A. B. Aleksandrov.)