We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
This one-semester lecture is suitable for graduate students, PhD students and postdocs with background in analysis. It is meant to be a course of two hours per week and aims to present a specific point of view on the terms interpolation and approximation, which are sometimes used with a very different meaning.
In chapter 1 we present the classical real interpolation theory with focus on the so-called