A comparison theorem between Radon and Fourier-Laplace transforms for D-modules
Thomas Reichelt
TL;DR
This paper establishes a comparison theorem linking the Radon and Fourier-Laplace transforms for D-modules, extending previous results and providing a unified framework for these integral transforms.
Contribution
It introduces a general comparison theorem between the Radon and Fourier-Laplace transforms for D-modules, broadening the scope of earlier specific cases.
Findings
Proves a new comparison theorem for D-modules
Generalizes previous results by Brylinski and d'Agnolo-Eastwood
Provides a unified perspective on Radon and Fourier-Laplace transforms
Abstract
We prove a comparison theorem between the d-plane Radon transform and the Fourier-Laplace transform for D-modules. This generalizes results of Brylinski and d'Agnolo-Eastwood.
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
TopicsAppalachian Studies and Mathematics · Algebraic and Geometric Analysis · Mathematical and Theoretical Analysis