Global pseudodifferential operators in classes of ultradifferentiable functions and applications

20.02.2020 14:00 - 14:45

Vicente Asensio (Universitat Politecnica de Valencia)




In this seminar, we deal with pseudodifferential operators of infinite order in classes in the spirit of Björck for non-quasianalytic weight functions in the sense of Braun, Meise and Taylor. We also discuss sufficient conditions for the construction of a parametrix and we apply those results to the regularity of partial differential operators. This is based on collaborations with Chiara Boiti, David Jornet and Alessandro Oliaro.

A. Kriegl, P. Michor, A. Rainer

SR 12, 2. OG, OMP 1