Denjoy-Carleman Classes: Boundary Values, Approximate Solutions and Applications

摘要

This paper investigates and extends results proved in Petzsche and Vogt (1984) to solutions of systems of complex vector fields. A key ingredient is the existence of approximate solutions for such systems. The edge-of-the-wedge theory in such structures and microlocal analysis of solutions of nonlinear system of vector fields are presented as applications.