Local Fractal Interpolation On Unbounded Domains
Peter R. Massopust
TL;DR
This paper introduces a new approach to fractal interpolation on unbounded domains, constructing local fractal functions with specific properties and exploring their behavior in advanced function spaces.
Contribution
It develops a framework for local fractal functions on unbounded domains, including their properties, tensor products, and conditions for inclusion in Bochner-Lebesgue spaces.
Findings
Defined fractal interpolation on unbounded domains.
Constructed local fractal functions with specific properties.
Established conditions for local fractal functions to belong to Bochner-Lebesgue spaces.
Abstract
We define fractal interpolation on unbounded domains for a certain class of topological spaces and construct local fractal functions. In addition, we derive some properties of these local fractal functions, consider their tensor products, and give conditions for local fractal functions on unbounded domains to be elements of Bochner-Lebesgue spaces.
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.