Magnetic BV functions and the Bourgain-Brezis-Mironescu formula
Andrea Pinamonti, Marco Squassina, Eugenio Vecchi
TL;DR
This paper develops a theory of magnetic bounded variation functions and proves a general magnetic Bourgain-Brezis-Mironescu formula, extending classical results to magnetic contexts.
Contribution
It introduces magnetic BV functions and establishes a Bourgain-Brezis-Mironescu formula within this new framework.
Findings
Established a theory of magnetic BV functions.
Proved the validity of the Bourgain-Brezis-Mironescu formula for magnetic BV functions.
Extended classical BV function results to magnetic settings.
Abstract
We prove a general magnetic Bourgain-Brezis-Mironescu formula. In particular, after developing a theory of magnetic bounded variation functions, we prove the validity of the formula in this class.
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.