Gevrey-type regularities and shift-invariance in Sobolev-type spaces: Midterm results of the Goals Project

Abstract

We present a brief overview of the results obtained during the first two years of the GOALS project. The first group of results concerns Gevrey regularity on positive orthants. We then review several aspects of the so-called extended Gevrey regularity. Finally, we investigate various properties of shift-invariant subspaces of Sobolev type.