ForschungAngewandte AnalysisOS Analysis und Theoretische Physik
Oberseminar Analysis und Theoretische Physik

Oberseminar Analysis und Theoretische Physik

Vortrag am Dienstag, 24.01.2023 um 15:00 Uhr, Raum c311, Hauptgebäude der Universität; Prof. Dr. Miroslav Engliš, Silesian University Opava und Czech Academy of Sciences Prague

M-harmonic Bergman kernels

M-harmonic functions on the complex unit ball are those that are annihilated by the Moebius-invariant Laplacian. While holomorphic and harmonic Bergman kernels with respect to standard weights on the ball have by now been well-known objects already for decades, their M-harmonic counterparts turn out to be much more elusive. We survey recent advances for the unit ball and briefly indicate what further problems occur for more general situations.