Spectral Theory in Banach Spaces and Harmonic Analysis

Abstract

The workshop brought together 49 researchers from 11 different countries, representing two different research areas, spectral theory in Banach spaces and harmonic analysis, in order to promote the exchange of methods and recent results of these two areas. The 28 talks focused on the H ∞ -functional calculus for sectorial operators, related boundedness results on singular integrals, square function estimates and their application to the Kato square root problem, and regularity estimates for parabolic differential operators. They also raised many questions which lead to lively discussions, in particular during the afternoons, which were, for the most part, kept free of talks.