Abstract composition laws and their modulation spaces
Marius Mantoiu, Radu Purice
TL;DR
This paper introduces abstract composition laws inspired by pseudodifferential products, along with associated modulation spaces that possess valuable algebraic and topological features, on function classes over R^2n.
Contribution
It develops a new framework of composition laws and modulation spaces with enhanced algebraic and topological properties, extending the pseudodifferential calculus.
Findings
Defined new classes of composition laws
Constructed modulation spaces with algebraic structure
Established properties of these spaces and laws
Abstract
On classes of functions defined on R^2n we introduce abstract composition laws modelled after the pseudodifferential product of symbols. We attach to these composition laws modulation mappings and spaces with useful algebraic and topological properties.
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.