Abstract:
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.