Seminar Analysis and Theoretical Physics

Talk on Tuesday, November 29, 2022, 3:00 p.m., room c311, main building of the university; Prof. Dr. Matthias Lesch, University of Bonn; The multivariate holomorphic functional calculus: old and new

The multivariate holomorphic functional calculus: old and new

 

In this mostly pedagogical talk I will review the history and the results of the multivariate holomorphic functional calculus, which is by no means just a straightforward generalization of the usual one-variable case.

I ran into this when studying the fine print of Connes' Rearrangement Lemma which occurs in the study of the heat trace expansion of the Laplacian on noncommutative spaces. I will also discuss some elementary applications to noncommutative versions of Newton interpolation and Taylor formulas. The decisive tool for all of this is the noncommutative version of the divided difference formalism.