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.
The talk is based on an ongoing project with Luiz Hartmann from Sao Carlos, Brazil.
Referent/Referentin
Prof. Dr. Matthias Lesch, Rheinische Friedrich-Wilhelms-Universität Bonn
Veranstalter
Institut für Analysis
Termin
29. November 202215:00 Uhr - 17:00 Uhr
Ort
HauptgebäudeGeb.: 1101
Raum: C311
Welfengarten 1
30167 Hannover