4 papers · 1 filter
Ultradifferentiable regularity properties of a class of hypoelliptic operators
Stefan Fürdös
We investigate the ultradifferentiable regularity of solutions and vectors of a class of hypoelliptic differential operators first introduced by Hörmander. Our results extend resul…
Sheaves of ultradifferentiable functions
Stefan Fürdös
An abstract theory of ultradifferentiable sheaves is developed. Moreover, various applications to the theory of linear partial differential equations, differential geometry and, in…
Hypoellipticity of analytic differential operators in general ultradifferentiable classes
Stefan Fürdös
We show that analytic pseudodifferential and Fourier integral operators behave well for ultradifferentiable classes satisfying minimal regularity properties. As an application we i…
The Metivier inequality and ultradifferentiable hypoellipticity
Paulo D. Cordaro, Stefan Fürdös
In 1980 M{é}tivier characterized the analytic (and Gevrey) hypoellipticity of -solvable partial linear differential operators by a-priori estimates. In this note we extend thi…