Stefan Fürdös

Ultradifferentiable regularity properties of a class of hypoelliptic operators

Abstract We investigate the ultradifferentiable regularity of solutions and vectors of a class of hypoelliptic differential operators first introduced by Hörmander. Our results extend results of Hashimoto–Morimoto–Matsuzawa and Bolley–Camus–Metivier.

Hypoellipticity of analytic differential operators in general ultradifferentiable classes

Abstract We show that analytic pseudodifferential and Fourier integral operators behave well for ultradifferentiable classes satisfying minimal regularity properties. As an application we investigate the ultradifferentiable regularity properties of several examples of analytic di...