Abstract
In this article, we will refine Peetre’s theorem on coordinate-free characterisation of partial differential operators by taking into account the order of distributions. We will introduce a new notion of anisotropic distributions and derive a corresponding variant of the Schwartz kernel theorem in the proof. The results presented here can be easily extended to the case of differentiable manifolds.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.