Basic properties of ultrafunctions
Vieri Benci, Lorenzo Luperi Baglini
TL;DR
This paper systematically analyzes the fundamental properties of ultrafunctions, a class of functions on non-Archimedean fields that offer generalized solutions to equations lacking real or distributional solutions.
Contribution
It provides a comprehensive analysis of the basic properties of ultrafunction spaces, advancing understanding of their structure and potential applications.
Findings
Ultrafunctions form a well-structured class of functions on non-Archimedean fields.
They serve as generalized solutions to certain functional equations.
The paper establishes foundational properties of ultrafunction spaces.
Abstract
Ultrafunctions are a particular class of functions defined on a non-Archimedean field. They provide generalized solutions to functional equations which do not have any solutions among the real functions or the distributions. In this paper we analyze sistematically some basic properties of the spaces of ultrafunctions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.