analytic pseudodifferential operators 1CR geometry 1differential geometry 1Fourier integral operators 1functional analysis 1hypoellipticity 1hypoelliptic operators 1linear PDEs 1microlocal analysis 1operator theory 1principal type operators 1sheaf theory 1
From the 3 of 3 linked papers with an AI index.
3 papers
math.AP2026
Ultradifferentiable regularity properties of a class of hypoelliptic operators
Stefan Fürdös
The paper studies how smooth (ultradifferentiable) solutions and eigenvectors are for a certain class of hypoelliptic differential operators originally defined by Hörmander, extend…
math.AP2026
Sheaves of ultradifferentiable functions
Stefan Fürdös
The paper develops an abstract theory of sheaves of ultradifferentiable functions and explores applications to linear partial differential equations, differential geometry, and CR…
math.AP2026
Hypoellipticity of analytic differential operators in general ultradifferentiable classes
Stefan Fürdös
The paper proves that analytic pseudodifferential and Fourier integral operators act nicely on ultradifferentiable function spaces and uses this to extend Treves' hypoellipticity r…