Évènement

Evgueni Doubtsov
RAS, St.Petersburg Department of Steklov Mathematical Institute D.Sc.
https://www.researchgate.net/profile/Evgueni-Doubtsov

Date(s) : 02/07/2018   iCal
10h00 - 11h00

Given a holomorphic function F from the unit ball of ℂ^d into the unit disk D, we study the corresponding family σ_α = σ_α[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 U_α mapping analogs of model spaces onto L²(σ_α). In particular, we explicitly describe the preimages of pluriharmonic measures under U_α. (The talk is based on a joint work with A. B. Aleksandrov.)

https://www.sciencedirect.com/science/article/pii/S1631073X18303030

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• Séminaire