3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2025
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…