On some quasi-analytic classes
Abdelhafed Elkhadiri
TL;DR
This paper investigates the properties of quasi-analytic classes, demonstrating that the Borel mapping cannot be surjective when restricted to these classes, using the monotonicity property.
Contribution
It establishes a non-surjectivity result for the Borel mapping on certain quasi-analytic classes, advancing understanding of their structure.
Findings
Borel mapping restricted to quasi-analytic classes is not onto
Monotonicity property is key to the proof
Provides new insights into the structure of quasi-analytic classes
Abstract
Using the so called monotonicity property, we prove that the Borel mapping restricted to some quasi-anlytic classes is never onto.
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.
Taxonomy
TopicsFunctional Equations Stability Results · Advanced Topology and Set Theory · Holomorphic and Operator Theory