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Bartosz Malman: Regularity of Cauchy integrals, spaces of analytic functions and uncertainty principles

Tid: On 2021-11-24 kl 13.15 - 14.15

Plats: Kräftriket, House 5, Room 14 and Zoom 692 1892 7142

Föreläsare: Bartosz Malman (KTH)

Abstract

We will discuss three problems in operator and function theory. The first is removal of singularities of Cauchy integrals, a topic which dates back to 1978 and work of Khrushchev. Closely related is the second problem of approximations in certain Hilbert spaces of analytic functions called de Branges–Rovnyak spaces, which have attracted some attention in the recent years. Through duality, these two problems are related to concepts which fall under the theme of uncertainty principles and spectral theory of functions in the unit disk. The talk is based on joint work with Adem Limani of Lund University.