Seminar Analysis and Theoretical Physics

Talk on Tuesday, January 24, 2023 at 3 p.m. in room c311, main building of the university; Prof. Dr. Miroslav Engliš, Silesian University Opava and 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.