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 differential operators. In particular we extend Treves' characterization of the hypoellipticity of analytic operators of principal type to the ultradifferentiable category.
Fields of Study & Subjects
Holomorphic and Operator Theory
Advanced Banach Space Theory
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- Journal of Pseudo-Differential Operators and Applications
- Publisher
- Springer Science and Business Media LLC
- Volume
- 17
- Issue
- 4
- Pages
- 72–72
- Publication date
- 4 September 2026
- Language
- EN