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The multivariate holomorphic functional calculus: old and new
29 Nov
29. November 2022
Oberseminar Analysis und Theoretische Physik

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.


Prof. Dr. Matthias Lesch, Rheinische Friedrich-Wilhelms-Universität Bonn


Institut für Analysis


29. November 2022
15:00 o'clock - 17:00 o'clock


Building: 1101
Room: C311
Welfengarten 1
30167 Hannover
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